@article{https://authors.library.caltech.edu/records/atth2-7h963, title = "A useful formula for periodic Jacobi matrices on trees", journal = "Proceedings of the National Academy of Sciences", year = "2024", url = "https://authors.library.caltech.edu/records/atth2-7h963", id = "record", issn = "0027-8424", doi = "10.1073/pnas.2315218121", volume = "121" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20220301-900160000, title = "The strong Gauss–Lucas theorem and analyticity of correlation functions via the Lee–Yang theorem", journal = "Journal of Mathematical Physics", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220301-900160000", id = "record", issn = "0022-2488", doi = "10.1063/5.0077229", volume = "63" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20220222-706506000, title = "Twelve tales in mathematical physics: An expanded Heineman prize lecture", journal = "Journal of Mathematical Physics", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220222-706506000", id = "record", issn = "0022-2488", doi = "10.1063/5.0056008", volume = "63" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20211129-220847957, title = "Asymptotics of Chebyshev polynomials, V. residual polynomials", journal = "Ramanujan Journal", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20211129-220847957", id = "record", issn = "1382-4090", doi = "10.1007/s11139-021-00500-0" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210423-080608586, title = "Remarks on periodic Jacobi matrices on trees", journal = "Journal of Mathematical Physics", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210423-080608586", id = "record", issn = "0022-2488", doi = "10.1063/5.0033702", volume = "62" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20190501-093308068, title = "Asymptotics of Chebyshev Polynomials. IV. Comments on the Complex Case", journal = "Journal d'Analyse Mathématique", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20190501-093308068", id = "record", issn = "0021-7670", doi = "10.1007/s11854-020-0120-9", volume = "141" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20200108-134956957, title = "Periodic Jacobi Matrices on Trees", journal = "Advances in Mathematics", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20200108-134956957", id = "record", issn = "0001-8708", doi = "10.1016/j.aim.2020.107241", volume = "370" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20200805-100854001, title = "The mathematician who helped to reshape physics", journal = "Nature", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20200805-100854001", id = "record", issn = "0028-0836", doi = "10.1038/d41586-020-02297-2", volume = "584" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20200109-110319953, title = "Proof of the Strong Scott Conjecture for Chandrasekhar Atoms", journal = "Pure and Applied Functional Analysis", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20200109-110319953", id = "record", issn = "2189-3764", doi = "10.48550/arXiv.1907.04894", volume = "5" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20200108-134330154, title = "Alexander Gordon", journal = "Journal of Spectral Theory", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20200108-134330154", id = "record", issn = "1664-039X", doi = "10.4171/JST/293", volume = "9" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20190430-104322593, title = "Poncelet's theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators", journal = "Advances in Mathematics", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20190430-104322593", id = "record", issn = "0001-8708", doi = "10.1016/j.aim.2019.04.027", volume = "349" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180222-132115517, title = "Tosio Kato's work on non-relativistic quantum mechanics: part 2", journal = "Bulletin of Mathematical Sciences", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180222-132115517", id = "record", issn = "1664-3607", doi = "10.1007/s13373-018-0121-5", volume = "9" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180807-124147489, title = "Asymptotics of Chebyshev Polynomials, II. DCT Subsets of ℝ", journal = "Duke Mathematical Journal", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180807-124147489", id = "record", issn = "0012-7094", doi = "10.1215/00127094-2018-0045", volume = "168" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170509-081147843, title = "Large Deviations and Sum Rules for Spectral Theory - A Pedagogical Approach", journal = "Journal of Spectral Theory", year = "2018", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170509-081147843", id = "record", issn = "1664-039X", doi = "10.4171/JST/235", volume = "8" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170509-082734416, title = "Large Deviations and the Lukic Conjecture", journal = "Duke Mathematical Journal", year = "2018", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170509-082734416", id = "record", issn = "0012-7094", doi = "10.1215/00127094-2018-0027", volume = "167" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180222-133447211, title = "Tosio Kato's work on non-relativistic quantum mechanics: part 1", journal = "Bulletin of Mathematical Sciences", year = "2018", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180222-133447211", id = "record", issn = "1664-3607", doi = "10.1007/s13373-018-0118-0", volume = "8" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20190610-130435055, title = "Tosio Kato's Work on Non-Relativistic Quantum Mechanics: A Brief Report", journal = "IAMP News Bulletin", year = "2018", url = "https://resolver.caltech.edu/CaltechAUTHORS:20190610-130435055", id = "record", issn = "2304-7348" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20171121-100155399, title = "Similarity Between Two Projections", journal = "Integral Equations and Operator Theory", year = "2017", url = "https://resolver.caltech.edu/CaltechAUTHORS:20171121-100155399", id = "record", issn = "0378-620X", doi = "10.1007/s00020-017-2414-6", volume = "89" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170502-082840587, title = "Eigenvalue bounds for Schrödinger operators with complex potentials. II", journal = "Journal of Spectral Theory", year = "2017", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170502-082840587", id = "record", issn = "1664-039X", doi = "10.4171/JST/173", volume = "7" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170509-073922440, title = "Unitaries permuting two orthogonal projections", journal = "Linear Algebra and its Applications", year = "2017", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170509-073922440", id = "record", issn = "0024-3795", doi = "10.1016/j.laa.2017.03.026", volume = "528" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170512-073744838, title = "Ratio asymptotics and weak asymptotic measures for orthogonal polynomials on the real line", journal = "Journal of Approximation Theory", year = "2017", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170512-073744838", id = "record", issn = "0021-9045", doi = "10.1016/j.jat.2003.12.002", volume = "126" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20161109-142515049, title = "Asymptotics of Chebyshev polynomials, I: subsets of ℝ", journal = "Inventiones Mathematicae", year = "2017", url = "https://resolver.caltech.edu/CaltechAUTHORS:20161109-142515049", id = "record", issn = "0020-9910", doi = "10.1007/s00222-016-0689-x", volume = "208" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170428-160716872, title = "Condensation of fermion pairs in a domain", journal = "Calculus of Variations and Partial Differential Equations", year = "2017", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170428-160716872", id = "record", issn = "0944-2669", doi = "10.1007/s00526-017-1140-x", volume = "56" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20150326-081223615, title = "Cantor polynomials and some related classes of OPRL", journal = "Journal of Approximation Theory", year = "2015", url = "https://resolver.caltech.edu/CaltechAUTHORS:20150326-081223615", id = "record", issn = "0021-9045", doi = "10.1016/j.jat.2014.04.003", volume = "191" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20140814-112606518, title = "Stability of Asymptotics of Christoffel–Darboux Kernels", journal = "Communications in Mathematical Physics", year = "2014", url = "https://resolver.caltech.edu/CaltechAUTHORS:20140814-112606518", id = "record", issn = "0010-3616", doi = "10.1007/s00220-014-1913-4", volume = "330" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20120319-093342145, title = "Finite Gap Jacobi Matrices, III. Beyond the Szegő Class", journal = "Constructive Approximation", year = "2012", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120319-093342145", id = "record", issn = "0176-4276", doi = "10.1007/s00365-012-9152-4", volume = "35" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20110414-085411774, title = "Finite Gap Jacobi Matrices, II. The Szegő Class", journal = "Constructive Approximation", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20110414-085411774", id = "record", issn = "0176-4276", doi = "10.1007/s00365-010-9094-7", volume = "33" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20110610-081439616, title = "Asymptotics of the L^2 norm of derivatives of OPUC", journal = "Journal of Approximation Theory", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20110610-081439616", id = "record", issn = "0021-9045", doi = "10.1016/j.jat.2010.09.002", volume = "163" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20110502-112300651, title = "Critical Lieb-Thirring bounds in gaps and the generalized Nevai conjecture for finite gap Jacobi matrices", journal = "Duke Mathematical Journal", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20110502-112300651", id = "record", issn = "0012-7094", doi = "10.1215/00127094-1272912", volume = "157" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20110328-100710731, title = "Natural boundaries and spectral theory", journal = "Advances in Mathematics", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20110328-100710731", id = "record", issn = "0001-8708", doi = "10.1016/j.aim.2010.12.019", volume = "226" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20111219-134707644, title = "On the Removal of Finite Discrete Spectrum by Coefficient Stripping", journal = "Journal of Spectral Theory", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111219-134707644", id = "record", issn = "1664-039X", doi = "10.4171/JST/3", volume = "1" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20100830-143634133, title = "The Nevai Condition", journal = "Constructive Approximation", year = "2010", url = "https://resolver.caltech.edu/CaltechAUTHORS:20100830-143634133", id = "record", issn = "0176-4276", doi = "10.1007/s00365-009-9055-1", volume = "32" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20100713-080234381, title = "Finite Gap Jacobi Matrices, I. The Isospectral Torus", journal = "Constructive Approximation", year = "2010", url = "https://resolver.caltech.edu/CaltechAUTHORS:20100713-080234381", id = "record", issn = "0176-4276", doi = "10.1007/s00365-009-9057-z", volume = "32" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20110201-094527717, title = "The Hilbert transform of a measure", journal = "Journal d'Analyse Mathématique", year = "2010", url = "https://resolver.caltech.edu/CaltechAUTHORS:20110201-094527717", id = "record", issn = "0021-7670", doi = "10.1007/s11854-010-0017-0", volume = "111" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20100803-145828608, title = "Perturbations of orthogonal polynomials with periodic recursion coefficients", journal = "Annals of Mathematics", year = "2010", url = "https://resolver.caltech.edu/CaltechAUTHORS:20100803-145828608", id = "record", issn = "0003-486X", doi = "10.4007/annals.2010.171.1931", volume = "171" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20100301-083137497, title = "Equality of the Spectral and Dynamical Definitions of Reflection", journal = "Communications in Mathematical Physics", year = "2010", url = "https://resolver.caltech.edu/CaltechAUTHORS:20100301-083137497", id = "record", issn = "0010-3616", doi = "10.1007/s00220-009-0945-7", volume = "295" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20100928-144330506, title = "Bulk universality and clock spacing of zeros for ergodic Jacobi matrices with absolutely continuous spectrum", journal = "Analysis \& PDE", year = "2010", url = "https://resolver.caltech.edu/CaltechAUTHORS:20100928-144330506", id = "record", issn = "1948-206X", doi = "10.2140/apde.2010.3.81", volume = "3" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20091130-115048841, title = "Finite gap Jacobi matrices: An announcement", journal = "Journal of Computational and Applied Mathematics", year = "2009", url = "https://resolver.caltech.edu/CaltechAUTHORS:20091130-115048841", id = "record", issn = "0377-0427", doi = "10.1016/j.cam.2009.02.081", volume = "233" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20090728-075326318, title = "Poisson brackets of orthogonal polynomials", journal = "Journal of Approximation Theory", year = "2009", url = "https://resolver.caltech.edu/CaltechAUTHORS:20090728-075326318", id = "record", issn = "0021-9045", doi = "10.1016/j.jat.2007.07.001", volume = "158" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20090903-110552245, title = "Monotone Jacobi parameters and non-Szegő weights", journal = "Journal of Approximation Theory", year = "2009", url = "https://resolver.caltech.edu/CaltechAUTHORS:20090903-110552245", id = "record", issn = "0021-9045", doi = "10.1016/j.jat.2008.04.020", volume = "157" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20090708-105847182, title = "A Celebration of Jürg and Tom", journal = "Journal of Statistical Physics", year = "2009", url = "https://resolver.caltech.edu/CaltechAUTHORS:20090708-105847182", id = "record", issn = "0022-4715", doi = "10.1007/s10955-008-9627-7", volume = "134" } @article{https://resolver.caltech.edu/CaltechAUTHORS:SIMdmj09, title = "Weak convergence of CD kernels and applications", journal = "Duke Mathematical Journal", year = "2009", url = "https://resolver.caltech.edu/CaltechAUTHORS:SIMdmj09", id = "record", issn = "0012-7094", doi = "10.1215/00127094-2008-067", volume = "146" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180813-091037545, title = "Weak convergence of CD kernels and applications", journal = "Duke Mathematical Journal", year = "2009", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180813-091037545", id = "record", issn = "0012-7094", doi = "10.1215/00127094-2008-067", volume = "146" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20090918-112109981, title = "Regularity and the Cesàro–Nevai class", journal = "Journal of Approximation Theory", year = "2009", url = "https://resolver.caltech.edu/CaltechAUTHORS:20090918-112109981", id = "record", issn = "0021-9045", doi = "10.1016/j.jat.2008.04.016", volume = "156" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20100108-193514874, title = "Sum rules and spectral measures of Schrödinger operators with L^2 potentials", journal = "Annals of Mathematics", year = "2009", url = "https://resolver.caltech.edu/CaltechAUTHORS:20100108-193514874", id = "record", issn = "0003-486X", doi = "10.48550/arXiv.0608767", volume = "170" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20100617-144018858, title = "Schrödinger operators with purely discrete spectrum", journal = "Methods of Functional Analysis and Topology", year = "2009", url = "https://resolver.caltech.edu/CaltechAUTHORS:20100617-144018858", id = "record", issn = "1029-3531", volume = "15" } @article{https://resolver.caltech.edu/CaltechAUTHORS:SIMjam08, title = "Two extensions of Lubinsky's universality theorem", journal = "Journal d'Analyse Mathématique", year = "2008", url = "https://resolver.caltech.edu/CaltechAUTHORS:SIMjam08", id = "record", issn = "0021-7670", doi = "10.1007/s11854-008-0039-z", volume = "105" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170408-144423477, title = "Eigenvalue Bounds for Perturbations of Schrödinger Operators and Jacobi Matrices With Regular Ground States", journal = "Communications in Mathematical Physics", year = "2008", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170408-144423477", id = "record", issn = "0010-3616", doi = "10.1007/s00220-008-0453-1", volume = "282" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20091014-110720129, title = "Eigenvalue bounds in the gaps of Schrödinger operators and Jacobi matrices", journal = "Journal of Mathematical Analysis and Applictions", year = "2008", url = "https://resolver.caltech.edu/CaltechAUTHORS:20091014-110720129", id = "record", issn = "0022-247X", doi = "10.1016/j.jmaa.2007.08.059", volume = "340" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20091016-144551584, title = "Fine structure of the zeros of orthogonal polynomials IV: A priori bounds and clock behavior", journal = "Communications on Pure and Applied Mathematics", year = "2008", url = "https://resolver.caltech.edu/CaltechAUTHORS:20091016-144551584", id = "record", issn = "0010-3640", doi = "10.1002/cpa.20185", volume = "61" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20200716-153633045, title = "The Analytic Theory of Matrix Orthogonal Polynomials", journal = "Surveys in Approximation Theory", year = "2008", url = "https://resolver.caltech.edu/CaltechAUTHORS:20200716-153633045", id = "record", issn = "1555-578X", doi = "10.48550/arXiv.0711.2703", volume = "4" } @article{https://resolver.caltech.edu/CaltechAUTHORS:GESjmpag08, title = "On the Koplienko Spectral Shift Function. I. Basics", journal = "Journal of Mathematical Physics, Analysis and Geometry", year = "2008", url = "https://resolver.caltech.edu/CaltechAUTHORS:GESjmpag08", id = "record", issn = "1812-9471", doi = "10.48550/arXiv.0705.3629", volume = "4" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20100211-153106376, title = "CMV matrices: Five years after", journal = "Journal of Computational and Applied Mathematics", year = "2007", url = "https://resolver.caltech.edu/CaltechAUTHORS:20100211-153106376", id = "record", issn = "0377-0427", doi = "10.1016/j.cam.2006.10.033", volume = "208" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170809-102314012, title = "Meromorphic Jost functions and asymptotic expansions for Jacobi parameters", journal = "Functional Analysis and its Applications", year = "2007", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170809-102314012", id = "record", issn = "0016-2663", doi = "10.1007/s10688-007-0013-z", volume = "41" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170510-141814909, title = "Rank one perturbations and the zeros of paraorthogonal polynomials on the unit circle", journal = "Journal of Mathematical Analysis and Applictions", year = "2007", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170510-141814909", id = "record", issn = "0022-247X", doi = "10.1016/j.jmaa.2006.06.076", volume = "329" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170726-115725562, title = "Zeros of OPUC and long time asymptotics of Schur and related flows", journal = "Inverse Problems and Imaging", year = "2007", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170726-115725562", id = "record", issn = "1930-8345", doi = "10.3934/ipi.2007.1.189", volume = "1" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170726-123106726, title = "The Essential Spectrum of Schrödinger, Jacobi, and CMV Operators", journal = "Journal d'Analyse Mathématique", year = "2006", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170726-123106726", id = "record", issn = "0021-7670", doi = "10.1007/BF02790275", volume = "98" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170512-073744225, title = "Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle", journal = "Journal of Approximation Theory", year = "2006", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170512-073744225", id = "record", issn = "0021-9045", doi = "10.1016/j.jat.2006.03.006", volume = "141" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170711-080502782, title = "Fine structure of the zeros of orthogonal polynomials III: Periodic recursion coefficients", journal = "Communications on Pure and Applied Mathematics", year = "2006", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170711-080502782", id = "record", issn = "0010-3640", doi = "10.1002/cpa.20106", volume = "59" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170725-145819291, title = "Jost functions and Jost solutions for Jacobi matrices, I. A necessary and sufficient condition for Szegő asymptotics", journal = "Inventiones Mathematicae", year = "2006", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170725-145819291", id = "record", issn = "0020-9910", doi = "10.1007/s00222-005-0485-5", volume = "165" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170711-081744987, title = "Jost functions and Jost solutions for Jacobi matrices, II. Decay and analyticity", journal = "International Mathematics Research Notices", year = "2006", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170711-081744987", id = "record", issn = "1073-7928", doi = "10.1155/IMRN/2006/19396", volume = "2006" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170726-134636444, title = "Aizenman's Theorem for Orthogonal Polynomials on the Unit Circle", journal = "Constructive Approximation", year = "2006", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170726-134636444", id = "record", issn = "0176-4276", doi = "10.1007/s00365-005-0599-4", volume = "23" } @article{https://resolver.caltech.edu/CaltechAUTHORS:SIMetna06, title = "Fine structure of the zeros of orthogonal polynomials, I. A tale of two pictures", journal = "Electronic Transactions on Numerical Analysis", year = "2006", url = "https://resolver.caltech.edu/CaltechAUTHORS:SIMetna06", id = "record", issn = "1068-9613", volume = "25" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170408-133653793, title = "Limits of zeros of orthogonal polynomials on the circle", journal = "Mathematische Nachrichten", year = "2005", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170408-133653793", id = "record", issn = "1522-2616", doi = "10.1002/mana.200410326", volume = "278" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170726-130636631, title = "Schrödinger Operators with Few Bound States", journal = "Communications in Mathematical Physics", year = "2005", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170726-130636631", id = "record", issn = "0010-3616", doi = "10.1007/s00220-005-1366-x", volume = "258" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170801-082824529, title = "Meromorphic Szegő functions and asymptotic series for Verblunsky coefficients", journal = "Acta Mathematica", year = "2005", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170801-082824529", id = "record", issn = "0001-5962", doi = "10.1007/BF02588083", volume = "195" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170512-073745361, title = "Fine structure of the zeros of orthogonal polynomials, II. OPUC with competing exponential decay", journal = "Journal of Approximation Theory", year = "2005", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170512-073745361", id = "record", issn = "0021-9045", doi = "10.1016/j.jat.2005.04.003", volume = "135" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170510-131903213, title = "On a theorem of Kac and Gilbert", journal = "Journal of Functional Analysis", year = "2005", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170510-131903213", id = "record", issn = "0022-1236", doi = "10.1016/j.jfa.2004.08.015", volume = "223" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170512-073745126, title = "Higher-order Szegő theorems with two singular points", journal = "Journal of Approximation Theory", year = "2005", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170512-073745126", id = "record", issn = "0021-9045", doi = "10.1016/j.jat.2005.02.003", volume = "134" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20110826-133837209, title = "OPUC on one foot", journal = "Bulletin of the American Mathematical Society", year = "2005", url = "https://resolver.caltech.edu/CaltechAUTHORS:20110826-133837209", id = "record", issn = "0273-0979", doi = "10.1090/S0273-0979-05-01075-X", volume = "42" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170510-134147546, title = "A canonical factorization for meromorphic Herglotz functions on the unit disk and sum rules for Jacobi matrices", journal = "Journal of Functional Analysis", year = "2004", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170510-134147546", id = "record", issn = "0022-1236", doi = "10.1016/j.jfa.2003.11.006", volume = "214" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170801-075355675, title = "Connectedness of the Isospectral Manifold for One-Dimensional Half-Line Schrödinger Operators", journal = "Journal of Statistical Physics", year = "2004", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170801-075355675", id = "record", issn = "0022-4715", doi = "10.1023/B:JOSS.0000037217.89500.b3", volume = "116" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170524-141635977, title = "A diamagnetic inequality for semigroup differences", journal = "Journal für die reine und angewandte Mathematik (Crelles Journal)", year = "2004", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170524-141635977", id = "record", issn = "0075-4102", doi = "10.1515/crll.2004.036", volume = "2004" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20110818-105014767, title = "Orthogonal polynomials on the unit circle: New results", journal = "International Mathematics Research Notices", year = "2004", url = "https://resolver.caltech.edu/CaltechAUTHORS:20110818-105014767", id = "record", issn = "1073-7928", doi = "10.1155/S1073792804141664", volume = "2004" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20110920-104550878, title = "Necessary and Sufficient Conditions in the Spectral Theory of Jacobi Matrices and Schrödinger Operators", journal = "International Mathematics Research Notices", year = "2004", url = "https://resolver.caltech.edu/CaltechAUTHORS:20110920-104550878", id = "record", issn = "1073-7928", doi = "10.1155/S1073792804132790", volume = "2004" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170602-143616540, title = "Bound states and the Szegő condition for Jacobi matrices and Schrödinger operators", journal = "Journal of Functional Analysis", year = "2003", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170602-143616540", id = "record", issn = "0022-1236", doi = "10.1016/S0022-1236(03)00070-3", volume = "205" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170515-111325638, title = "Sum Rules and the Szegő Condition for Orthogonal Polynomials on the Real Line", journal = "Communications in Mathematical Physics", year = "2003", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170515-111325638", id = "record", issn = "0010-3616", doi = "10.1007/s00220-003-0906-5", volume = "242" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170726-131903680, title = "Variational Estimates for Discrete Schrödinger Operators with Potentials of Indefinite Sign", journal = "Communications in Mathematical Physics", year = "2003", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170726-131903680", id = "record", issn = "0010-3616", doi = "10.1007/s00220-003-0868-7", volume = "238" } @article{https://resolver.caltech.edu/CaltechAUTHORS:KILam05, title = "Sum rules for Jacobi matrices and their applications to spectral theory", journal = "Annals of Mathematics", year = "2003", url = "https://resolver.caltech.edu/CaltechAUTHORS:KILam05", id = "record", issn = "0003-486X", volume = "158" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170510-134955944, title = "Stability of singular spectral types under decaying perturbations", journal = "Journal of Functional Analysis", year = "2003", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170510-134955944", id = "record", issn = "0022-1236", doi = "10.1016/S0022-1236(02)00053-8", volume = "198" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20111027-081142498, title = "The Golinskii-Ibragimov Method and a Theorem of Damanik and Killip", journal = "International Mathematics Research Notices", year = "2003", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111027-081142498", id = "record", issn = "1073-7928", doi = "10.1155/S107379280313084X", volume = "2003" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170726-114229059, title = "An optimal Lᵖ-bound on the Krein spectral shift function", journal = "Journal d'Analyse Mathématique", year = "2002", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170726-114229059", id = "record", issn = "0021-7670", doi = "10.1007/BF02868474", volume = "87" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170512-073744584, title = "Lieb–Thirring Inequalities for Jacobi Matrices", journal = "Journal of Approximation Theory", year = "2002", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170512-073744584", id = "record", issn = "0021-9045", doi = "10.1006/jath.2002.3704", volume = "118" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170515-105645659, title = "Approach to equilibrium for a forced Burgers equation", journal = "Journal of Evolution Equations", year = "2001", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170515-105645659", id = "record", issn = "1424-3199", doi = "10.1007/PL00001380", volume = "1" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170510-140505304, title = "Resonances in One Dimension and Fredholm Determinants", journal = "Journal of Functional Analysis", year = "2000", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170510-140505304", id = "record", issn = "0022-1236", doi = "10.1006/jfan.2000.3669", volume = "178" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180320-094238430, title = "A new approach to inverse spectral theory, III. Short-range potentials", journal = "Journal d'Analyse Mathématique", year = "2000", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180320-094238430", id = "record", issn = "0021-7670", doi = "10.1007/BF02791540", volume = "80" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20111130-133257722, title = "A new approach to inverse spectral theory, II. General real potentials and the connection to the spectral measure", journal = "Annals of Mathematics", year = "2000", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111130-133257722", id = "record", issn = "0003-486X", doi = "10.2307/2661393", volume = "152" } @article{https://resolver.caltech.edu/CaltechAUTHORS:SIMjmp00, title = "Schrödinger operators in the twentieth century", journal = "Journal of Mathematical Physics", year = "2000", url = "https://resolver.caltech.edu/CaltechAUTHORS:SIMjmp00", id = "record", issn = "0022-2488", doi = "10.1063/1.533321", volume = "41" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20111123-135717828, title = "Tosio Kato (1917–1999)", journal = "Notices of the American Mathematical Society", year = "2000", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111123-135717828", id = "record", issn = "0002-9920", volume = "47" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180511-153128441, title = "Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum", journal = "Transactions of the American Mathematical Society", year = "2000", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180511-153128441", id = "record", issn = "0002-9947", doi = "10.1090/S0002-9947-99-02544-1", volume = "352" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170801-072515055, title = "On Local Borg–Marchenko Uniqueness Results", journal = "Communications in Mathematical Physics", year = "2000", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170801-072515055", id = "record", issn = "0010-3616", doi = "10.1007/s002200050812", volume = "211" } @article{https://resolver.caltech.edu/CaltechAUTHORS:SIMaom99, title = "A new approach to inverse spectral theory, I. Fundamental formalism", journal = "Annals of Mathematics", year = "1999", url = "https://resolver.caltech.edu/CaltechAUTHORS:SIMaom99", id = "record", issn = "1012-2443", doi = "10.2307/121061", volume = "150" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170906-131540684, title = "Effective Perturbation Methods for One-Dimensional Schrödinger Operators", journal = "Journal of Differential Equations", year = "1999", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170906-131540684", id = "record", issn = "0022-0396", doi = "10.1006/jdeq.1998.3514", volume = "151" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180320-104319293, title = "Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrödinger operators", journal = "Inventiones Mathematicae", year = "1999", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180320-104319293", id = "record", issn = "0020-9910", doi = "10.1007/s002220050288", volume = "135" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170829-154200373, title = "The Classical Moment Problem as a Self-Adjoint Finite Difference Operator", journal = "Advances in Mathematics", year = "1998", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170829-154200373", id = "record", issn = "0001-8708", doi = "10.1006/aima.1998.1728", volume = "137" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180511-153846768, title = "Spectral averaging and the Krein spectral shift", journal = "Proceedings of the American Mathematical Society", year = "1998", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180511-153846768", id = "record", issn = "0002-9939", doi = "10.1090/S0002-9939-98-04261-0", volume = "126" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180320-092711915, title = "Modified Prüfer and EFGP Transforms and the Spectral Analysis of One-Dimensional Schrödinger Operators", journal = "Communications in Mathematical Physics", year = "1998", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180320-092711915", id = "record", issn = "0010-3616", doi = "10.1007/s002200050346", volume = "194" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170906-104652888, title = "Modified Prüfer and EFGP Transforms and Deterministic Models with Dense Point Spectrum", journal = "Journal of Functional Analysis", year = "1998", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170906-104652888", id = "record", issn = "0022-1236", doi = "10.1006/jfan.1997.3192", volume = "154" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180719-132519253, title = "Point spectrum and mixed spectral types for rank one perturbations", journal = "Proceedings of the American Mathematical Society", year = "1997", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180719-132519253", id = "record", issn = "0002-9939", doi = "10.1090/S0002-9939-97-03997-X", volume = "125" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180110-165033558, title = "m-Functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices", journal = "Journal d'Analyse Mathématique", year = "1997", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180110-165033558", id = "record", issn = "0021-7670", doi = "10.1007/BF02788147", volume = "73" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170918-101826478, title = "Inverse spectral analysis with partial information on the potential. III. Updating boundary conditions", journal = "International Mathematics Research Notices", year = "1997", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170918-101826478", id = "record", issn = "1073-7928", doi = "10.1155/S1073792897000494", volume = "1997" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180315-135902699, title = "Spectral deformations of one-dimensional Schrödinger operators", journal = "Journal d'Analyse Mathématique", year = "1996", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180315-135902699", id = "record", issn = "0021-7670", doi = "10.1007/BF02820446", volume = "70" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180315-134316740, title = "Operators with singular continuous spectrum, IV. Hausdorff dimensions, rank one perturbations, and localization", journal = "Journal d'Analyse Mathématique", year = "1996", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180315-134316740", id = "record", issn = "0021-7670", doi = "10.1007/BF02787106", volume = "69" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170912-095106346, title = "A Trace Formula for Multidimensional Schrödinger Operators", journal = "Journal of Functional Analysis", year = "1996", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170912-095106346", id = "record", issn = "0022-1236", doi = "10.1006/jfan.1996.0137", volume = "141" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180511-162701951, title = "Bounded eigenfunctions and absolutely continuous spectra for one-dimensional Schrödinger operators", journal = "Proceedings of the American Mathematical Society", year = "1996", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180511-162701951", id = "record", issn = "0002-9939", doi = "10.1090/S0002-9939-96-03599-X", volume = "124" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170809-105308934, title = "The Lyapunov Exponents for Schrödinger Operators with Slowly Oscillating Potentials", journal = "Journal of Functional Analysis", year = "1996", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170809-105308934", id = "record", issn = "0022-1236", doi = "10.1006/jfan.1996.0117", volume = "140" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180511-161415818, title = "Operators with singular continuous spectrum, V. Sparse potentials", journal = "Proceedings of the American Mathematical Society", year = "1996", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180511-161415818", id = "record", issn = "0002-9939", doi = "10.1090/S0002-9939-96-03465-X", volume = "124" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170918-100353730, title = "Zeros of the Wronskian and Renormalized Oscillation Theory", journal = "American Journal of Mathematics", year = "1996", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170918-100353730", id = "record", issn = "0002-9327", doi = "10.1353/ajm.1996.0024", volume = "118" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180320-112111420, title = "Operators with singular continuous spectrum, VI. Graph Laplacians and Laplace-Beltrami operators", journal = "Proceedings of the American Mathematical Society", year = "1996", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180320-112111420", id = "record", issn = "0002-9939", doi = "10.1090/S0002-9939-96-03245-5", volume = "124" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180315-112637401, title = "Operators with Singular Continuous Spectrum, VII. Examples with Borderline Time Decay", journal = "Communications in Mathematical Physics", year = "1996", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180315-112637401", id = "record", issn = "0010-3616", doi = "10.1007/BF02099257", volume = "176" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20120208-090710174, title = "Uniqueness theorems in inverse spectral theory for one-dimensional Schrödinger operators", journal = "Transactions of the American Mathematical Society", year = "1996", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120208-090710174", id = "record", issn = "0002-9947", doi = "10.1090/S0002-9947-96-01525-5", volume = "348" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180206-140113065, title = "L^p Norms of the Borel Transform and the Decomposition of Measures", journal = "Proceedings of the American Mathematical Society", year = "1995", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180206-140113065", id = "record", issn = "0002-9939", doi = "10.2307/2161903", volume = "123" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180315-130513176, title = "Singular Continuous Spectrum for Palindromic Schrödinger Operators", journal = "Communications in Mathematical Physics", year = "1995", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180315-130513176", id = "record", issn = "0010-3616", doi = "10.1007/BF02099468", volume = "174" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180413-113435667, title = "What is Localization?", journal = "Physical Review Letters", year = "1995", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180413-113435667", id = "record", issn = "0031-9007", doi = "10.1103/PhysRevLett.75.117", volume = "75" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170906-141427255, title = "Rank One Perturbations with Infinitesimal Coupling", journal = "Journal of Functional Analysis", year = "1995", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170906-141427255", id = "record", issn = "0022-1236", doi = "10.1006/jfan.1995.1074", volume = "130" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180315-131739823, title = "Absolute Summability of the Trace Relation for Certain Schrödinger Operators", journal = "Communications in Mathematical Physics", year = "1995", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180315-131739823", id = "record", issn = "0010-3616", doi = "10.1007/BF02099586", volume = "168" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170906-143042594, title = "Rank One Perturbations at Infinite Coupling", journal = "Journal of Functional Analysis", year = "1995", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170906-143042594", id = "record", issn = "0022-1236", doi = "10.1006/jfan.1995.1030", volume = "128" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170808-151736465, title = "Operators with Singular Continuous Spectrum: I. General Operators", journal = "Annals of Mathematics", year = "1995", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170808-151736465", id = "record", issn = "0003-486X", volume = "141" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170918-092925572, title = "Higher order trace relations for Schrödinger operators", journal = "Reviews in Mathematical Physics", year = "1995", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170918-092925572", id = "record", issn = "0129-055X", doi = "10.1142/S0129055X95000347", volume = "7" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180413-112754476, title = "Singular continuous spectrum is generic", journal = "Bulletin of the American Mathematical Society", year = "1994", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180413-112754476", id = "record", issn = "0273-0979", doi = "10.1090/S0273-0979-1994-00518-X", volume = "31" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20171120-161021287, title = "Operators with singular continuous spectrum: II. Rank one operators", journal = "Communications in Mathematical Physics", year = "1994", url = "https://resolver.caltech.edu/CaltechAUTHORS:20171120-161021287", id = "record", issn = "0010-3616", doi = "10.1007/BF02099737", volume = "165" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20171107-095819082, title = "Operators with singular continuous spectrum: III. Almost periodic Schrödinger operators", journal = "Communications in Mathematical Physics", year = "1994", url = "https://resolver.caltech.edu/CaltechAUTHORS:20171107-095819082", id = "record", issn = "0010-3616", doi = "10.1007/BF02099743", volume = "165" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170906-144540972, title = "The Index of a Pair of Projections", journal = "Journal of Functional Analysis", year = "1994", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170906-144540972", id = "record", issn = "0022-1236", doi = "10.1006/jfan.1994.1031", volume = "120" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20171107-101426795, title = "Charge deficiency, charge transport and comparison of dimensions", journal = "Communications in Mathematical Physics", year = "1994", url = "https://resolver.caltech.edu/CaltechAUTHORS:20171107-101426795", id = "record", issn = "0010-3616", doi = "10.1007/BF02102644", volume = "159" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180719-140605491, title = "Stability of Spectral Types for Sturm-Liouville Operators", journal = "Mathematical Research Letters", year = "1994", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180719-140605491", id = "record", issn = "1073-2780", doi = "10.4310/MRL.1994.v1.n4.a4", volume = "1" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170918-091225249, title = "Cyclic vectors in the Anderson model", journal = "Reviews in Mathematical Physics", year = "1994", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170918-091225249", id = "record", issn = "0129-055X", doi = "10.1142/S0129055X94000420", volume = "6" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180413-111511219, title = "On the Toda and Kac-van Moerbeke systems", journal = "Transactions of the American Mathematical Society", year = "1993", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180413-111511219", id = "record", issn = "0002-9947", doi = "10.1090/S0002-9947-1993-1153014-1", volume = "339" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180413-112125582, title = "Trace formulae and inverse spectral theory for Schrödinger operators", journal = "Bulletin of the American Mathematical Society", year = "1993", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180413-112125582", id = "record", issn = "0273-0979", doi = "10.1090/S0273-0979-1993-00431-2", volume = "29" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180315-110824542, title = "Spectral Properties of Random Schrödinger Operators with Unbounded Potentials", journal = "Communications in Mathematical Physics", year = "1993", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180315-110824542", id = "record", issn = "0010-3616", doi = "10.1007/BF02098017", volume = "157" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180413-110907644, title = "Large time behavior of the heat kernel: on a theorem of Chavel and Karp", journal = "Proceedings of the American Mathematical Society", year = "1993", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180413-110907644", id = "record", issn = "0002-9939", doi = "10.1090/S0002-9939-1993-1139473-4", volume = "118" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170906-150023173, title = "Asymptotic Series for the Ground State Energy of Schrödinger Operators", journal = "Journal of Functional Analysis", year = "1993", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170906-150023173", id = "record", issn = "0022-1236", doi = "10.1006/jfan.1993.1039", volume = "112" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20171120-095049793, title = "A Short Proof of Zheludev's Theorem", journal = "Transactions of the American Mathematical Society", year = "1993", url = "https://resolver.caltech.edu/CaltechAUTHORS:20171120-095049793", id = "record", issn = "0002-9947", volume = "335" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20171120-104432614, title = "The Weyl Transform and L^p Functions on Phase Space", journal = "Proceedings of the American Mathematical Society", year = "1992", url = "https://resolver.caltech.edu/CaltechAUTHORS:20171120-104432614", id = "record", issn = "0002-9939", volume = "116" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170905-100002232, title = "Best constants in some operator smoothness estimates", journal = "Journal of Functional Analysis", year = "1992", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170905-100002232", id = "record", issn = "0022-1236", doi = "10.1016/0022-1236(92)90100-W", volume = "107" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170809-113325669, title = "Eigenvalue asymptotics of the Neumann Laplacian of regions and manifolds with cusps", journal = "Journal of Functional Analysis", year = "1992", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170809-113325669", id = "record", issn = "0022-1236", doi = "10.1016/0022-1236(92)90063-O", volume = "106" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180413-110242629, title = "The Neumann Laplacian of a jelly roll", journal = "Proceedings of the American Mathematical Society", year = "1992", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180413-110242629", id = "record", issn = "0002-9939", doi = "10.1090/S0002-9939-1992-1076578-X", volume = "114" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180314-071625612, title = "Spectral properties of Neumann Laplacian of horns", journal = "Geometric and Functional Analysis", year = "1992", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180314-071625612", id = "record", issn = "1016-443X", doi = "10.1007/BF01895707", volume = "2" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180313-152512594, title = "The ground state energy of Schrödinger operators", journal = "Communications in Mathematical Physics", year = "1992", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180313-152512594", id = "record", issn = "0010-3616", volume = "150" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170829-073525996, title = "The essential spectrum of Neumann Laplacians on some bounded singular domains", journal = "Journal of Functional Analysis", year = "1991", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170829-073525996", id = "record", issn = "0022-1236", doi = "10.1016/0022-1236(91)90130-W", volume = "102" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170830-081216215, title = "L^p norms of non-critical Schrödinger semigroups", journal = "Journal of Functional Analysis", year = "1991", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170830-081216215", id = "record", issn = "0022-1236", doi = "10.1016/0022-1236(91)90137-T", volume = "102" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170810-072646814, title = "Explicit construction of solutions of the modified Kadomtsev-Petviashvili equation", journal = "Journal of Functional Analysis", year = "1991", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170810-072646814", id = "record", issn = "0022-1236", doi = "10.1016/0022-1236(91)90096-N", volume = "98" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170408-144611234, title = "Commutation methods applied to the mKdV-equation", journal = "Transactions of the American Mathematical Society", year = "1991", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170408-144611234", id = "record", issn = "0002-9947", doi = "10.1090/S0002-9947-1991-1029000-7", volume = "324" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180315-132837134, title = "Absence of Ballistic Motion", journal = "Communications in Mathematical Physics", year = "1990", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180315-132837134", id = "record", issn = "0010-3616", doi = "10.1007/BF02102095", volume = "134" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180313-142926573, title = "Quantum Hall effect and the relative index for projections", journal = "Physical Review Letters", year = "1990", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180313-142926573", id = "record", issn = "0031-9007", doi = "10.1103/PhysRevLett.65.2185", volume = "65" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20171107-100226114, title = "On the measure of the spectrum for the almost Mathieu operator", journal = "Communications in Mathematical Physics", year = "1990", url = "https://resolver.caltech.edu/CaltechAUTHORS:20171107-100226114", id = "record", issn = "0010-3616", doi = "10.1007/BF02278001", volume = "132" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180521-151747020, title = "Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions", journal = "Journal of Functional Analysis", year = "1990", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180521-151747020", id = "record", issn = "0022-1236", doi = "10.1016/0022-1236(90)90049-Q", volume = "91" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20160825-154251595, title = "Constructing solutions of the mKdV-equation", journal = "Journal of Functional Analysis", year = "1990", url = "https://resolver.caltech.edu/CaltechAUTHORS:20160825-154251595", id = "record", issn = "0022-1236", doi = "10.1016/0022-1236(90)90003-4", volume = "89" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20190826-124739793, title = "Approximate neutrality of large-Z ions", journal = "Communications in Mathematical Physics", year = "1988", url = "https://resolver.caltech.edu/CaltechAUTHORS:20190826-124739793", id = "record", issn = "0010-3616", doi = "10.1007/bf01224904", volume = "116" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180413-164425306, title = "Topological Invariants in Fermi Systems with Time-Reversal Invariance", journal = "Physical Review Letters", year = "1988", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180413-164425306", id = "record", issn = "0031-9007", doi = "10.1103/PhysRevLett.61.1329", volume = "61" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180413-164117904, title = "Density of Surface States in Discrete Models", journal = "Physical Review Letters", year = "1988", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180413-164117904", id = "record", issn = "0031-9007", doi = "10.1103/PhysRevLett.61.1261", volume = "61" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20120622-081911618, title = "Witten index, axial anomaly, and Krein's spectral shift function in supersymmetric quantum mechanics", journal = "Journal of Mathematical Physics", year = "1987", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120622-081911618", id = "record", issn = "0022-2488", doi = "10.1063/1.527508", volume = "28" } @article{https://resolver.caltech.edu/CaltechAUTHORS:SIMpjm86, title = "Schrödinger semigroups on the scale of Sobolev spaces", journal = "Pacific Journal of Mathematics", year = "1986", url = "https://resolver.caltech.edu/CaltechAUTHORS:SIMpjm86", id = "record", issn = "0030-8730", volume = "122" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180417-104515007, title = "Some Rigorous Results for the Anderson Model", journal = "Physical Review Letters", year = "1985", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180417-104515007", id = "record", issn = "0031-9007", doi = "10.1103/PhysRevLett.54.1589", volume = "54" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180720-164402687, title = "Almost periodic Schrödinger operators IV. The Maryland model", journal = "Annals of Physics", year = "1985", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180720-164402687", id = "record", issn = "0003-4916", doi = "10.1016/0003-4916(85)90196-4", volume = "159" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180521-145200393, title = "Semiclassical analysis of low lying elgenvalues. III. Width of the ground state band in strongly coupled solids", journal = "Annals of Physics", year = "1984", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180521-145200393", id = "record", issn = "0003-4916", doi = "10.1016/0003-4916(84)90125-8", volume = "158" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180417-104514705, title = "From Power-Localized to Extended States in a Class of One-Dimensional Disordered Systems", journal = "Physical Review Letters", year = "1984", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180417-104514705", id = "record", issn = "0031-9007", doi = "10.1103/PhysRevLett.52.2187", volume = "52" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180521-163704706, title = "The mathematical theory of resonances whose widths are exponentially small, II", journal = "Journal of Mathematical Analysis and Applictions", year = "1984", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180521-163704706", id = "record", issn = "0022-247X", doi = "10.1016/0022-247X(84)90225-7", volume = "99" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180417-104514421, title = "Asymptotic Neutrality of Large-Z Ions", journal = "Physical Review Letters", year = "1984", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180417-104514421", id = "record", issn = "0031-9007", doi = "10.1103/PhysRevLett.52.994", volume = "52" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180417-104514087, title = "Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase", journal = "Physical Review Letters", year = "1983", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180417-104514087", id = "record", issn = "0031-9007", doi = "10.1103/PhysRevLett.51.2167", volume = "51" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180417-104513799, title = "Homotopy and Quantization in Condensed Matter Physics", journal = "Physical Review Letters", year = "1983", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180417-104513799", id = "record", issn = "0031-9007", doi = "10.1103/PhysRevLett.51.51", volume = "51" } @article{https://resolver.caltech.edu/CaltechAUTHORS:AVRjpa83.791, title = "Large coupling behaviour of the Lyapunov exponent for tight binding one-dimensional random systems", journal = "Journal of Physics A: Mathematical and General", year = "1983", url = "https://resolver.caltech.edu/CaltechAUTHORS:AVRjpa83.791", id = "record", issn = "0305-4470", doi = "10.1088/0305-4470/16/7/002", volume = "16" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180521-140632144, title = "Equality of the density of states in a wide class of tight-binding Lorentzian random models", journal = "Physical Review B", year = "1983", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180521-140632144", id = "record", issn = "1098-0121", doi = "10.1103/PhysRevB.27.3859", volume = "27" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180521-162122666, title = "Some quantum operators with discrete spectrum but classically continuous spectrum", journal = "Annals of Physics", year = "1983", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180521-162122666", id = "record", issn = "0003-4916", doi = "10.1016/0003-4916(83)90057-X", volume = "146" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20201007-081705850, title = "Almost periodic Schrödinger operators: A Review", journal = "Advances in Applied Mathematics", year = "1982", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201007-081705850", id = "record", issn = "0196-8858", doi = "10.1016/s0196-8858(82)80018-3", volume = "3" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20120717-114851010, title = "Continuity of the density of states in a magnetic field", journal = "Journal of Physics A: Mathematical and General", year = "1982", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120717-114851010", id = "record", issn = "0305-4470", doi = "10.1088/0305-4470/15/9/043", volume = "15" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180521-152345997, title = "Spectrum and continuum eigenfunctions of Schrödinger operators", journal = "Journal of Functional Analysis", year = "1981", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180521-152345997", id = "record", issn = "0022-1236", doi = "10.1016/0022-1236(81)90094-X", volume = "42" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180521-145909947, title = "The Asymptotics of the Gap in the Mathieu Equation", journal = "Annals of Physics", year = "1981", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180521-145909947", id = "record", issn = "0003-4916", doi = "10.1016/0003-4916(81)90005-1", volume = "134" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180417-104513184, title = "Almost Periodic Hill's Equation and the Rings of Saturn", journal = "Physical Review Letters", year = "1981", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180417-104513184", id = "record", issn = "0031-9007", doi = "10.1103/PhysRevLett.46.1166", volume = "46" } @article{https://resolver.caltech.edu/CaltechAUTHORS:SIMpjm81, title = "Pointwise domination of matrices and comparison of ℐ\_p norms", journal = "Pacific Journal of Mathematics", year = "1981", url = "https://resolver.caltech.edu/CaltechAUTHORS:SIMpjm81", id = "record", issn = "0030-8730", volume = "97" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180521-150501792, title = "Coupling Constant Thresholds in Nonrelativistic Quantum Mechanics. I. Short-Range Two-Body Case", journal = "Annals of Physics", year = "1980", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180521-150501792", id = "record", issn = "0003-4916", doi = "10.1016/0003-4916(80)90338-3", volume = "130" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180521-164135228, title = "Unique continuation for Schrodinger operators with unbounded potentials", journal = "Journal of Mathematical Analysis and Applictions", year = "1980", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180521-164135228", id = "record", issn = "0022-247X", doi = "10.1016/0022-247X(80)90242-5", volume = "77" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180417-104512905, title = "Quantum Magnetic Hamiltonians with Remarkable Spectral Properties", journal = "Physical Review Letters", year = "1980", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180417-104512905", id = "record", issn = "0031-9007", doi = "10.1103/PhysRevLett.44.1706", volume = "44" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180417-104512511, title = "Decay of Correlations in Ferromagnets", journal = "Physical Review Letters", year = "1980", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180417-104512511", id = "record", issn = "0031-9007", doi = "10.1103/PhysRevLett.44.547", volume = "44" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180417-124706801, title = "Bounds on Total Cross Sections in Atom-Atom and Atom-Ion Collisions by Geometric Methods", journal = "Physical Review Letters", year = "1980", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180417-124706801", id = "record", issn = "0031-9007", doi = "10.1103/PhysRevLett.44.319", volume = "44" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180417-154003229, title = "Strongly bound states of hydrogen in intense magnetic field", journal = "Physical Review A", year = "1979", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180417-154003229", id = "record", issn = "0556-2791", doi = "10.1103/PhysRevA.20.2287", volume = "20" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180417-154002869, title = "Bender-Wu Formula and the Stark Effect in Hydrogen", journal = "Physical Review Letters", year = "1979", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180417-154002869", id = "record", issn = "0031-9007", doi = "10.1103/PhysRevLett.42.704", volume = "42" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180417-154002598, title = "Stark Effect Revisited", journal = "Physical Review Letters", year = "1978", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180417-154002598", id = "record", issn = "0031-9007", doi = "10.1103/PhysRevLett.41.67", volume = "41" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180417-154002275, title = "Formation of Negative Ions in Magnetic Fields", journal = "Physical Review Letters", year = "1977", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180417-154002275", id = "record", issn = "0031-9007", doi = "10.1103/PhysRevLett.39.1068", volume = "39" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180417-154001196, title = "Phase Transitions in the Quantum Heisenberg Model", journal = "Physical Review Letters", year = "1976", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180417-154001196", id = "record", issn = "0031-9007", doi = "10.1103/PhysRevLett.37.120", volume = "37" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180417-154000938, title = "Universal Diamagnetism of Spinless Bose Systems", journal = "Physical Review Letters", year = "1976", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180417-154000938", id = "record", issn = "0031-9007", doi = "10.1103/PhysRevLett.36.1083", volume = "36" } @article{https://resolver.caltech.edu/CaltechAUTHORS:SEIpnas75, title = "An inequality among determinants", journal = "Proceedings of the National Academy of Sciences of the United States of America", year = "1975", url = "https://resolver.caltech.edu/CaltechAUTHORS:SEIpnas75", id = "record", issn = "0027-8424", volume = "72", pmcid = "PMC432972" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180417-154000408, title = "Thomas-Fermi Theory Revisited", journal = "Physical Review Letters", year = "1973", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180417-154000408", id = "record", issn = "0031-9007", doi = "10.1103/PhysRevLett.31.681", volume = "31" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180417-154000112, title = "Griffiths-Hurst-Sherman Inequalities and a Lee-Yang Therorem for the(ϕ^4)\_2 Field Theory", journal = "Physical Review Letters", year = "1973", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180417-154000112", id = "record", issn = "0031-9007", doi = "10.1103/PhysRevLett.30.931", volume = "30" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180417-153959845, title = "Summability Methods, the Strong Asymptotic Condition, and Unitarity in Quantum Field Theory", journal = "Physical Review Letters", year = "1972", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180417-153959845", id = "record", issn = "0031-9007", doi = "10.1103/PhysRevLett.28.1145", volume = "28" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180417-153959480, title = "Borel Summability of the Ground-State Energy in Spatially Cutoff (ϕ^4)\_2", journal = "Physical Review Letters", year = "1970", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180417-153959480", id = "record", issn = "0031-9007", doi = "10.1103/PhysRevLett.25.1583", volume = "25" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180417-154003485, title = "Some Comments on the Jin-Martin Lower Bound", journal = "Physical Review D", year = "1970", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180417-154003485", id = "record", issn = "2470-0010", doi = "10.1103/PhysRevD.1.1240", volume = "1" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20181120-133838806, title = "Pade approximants and the anharmonic oscillator", journal = "Physics Letters B", year = "1969", url = "https://resolver.caltech.edu/CaltechAUTHORS:20181120-133838806", id = "record", issn = "0370-2693", doi = "10.1016/0370-2693(69)90087-2", volume = "30" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20181119-161054026, title = "On the Growth of the Ground‐State Binding Energy with Increase in Potential Strength", journal = "Journal of Mathematical Physics", year = "1969", url = "https://resolver.caltech.edu/CaltechAUTHORS:20181119-161054026", id = "record", issn = "0022-2488", doi = "10.1063/1.1664983", volume = "10" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20181120-133838721, title = "On the Growth of the Number of Bound States with Increase in Potential Strength", journal = "Journal of Mathematical Physics", year = "1969", url = "https://resolver.caltech.edu/CaltechAUTHORS:20181120-133838721", id = "record", issn = "0022-2488", doi = "10.1063/1.1664948", volume = "10" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20181120-145801316, title = "Convergence of regularized, renormalized perturbation series for super-renormalizable field theories", journal = "Il Nuovo Cimento A Series 10", year = "1969", url = "https://resolver.caltech.edu/CaltechAUTHORS:20181120-145801316", id = "record", issn = "0369-3546", doi = "10.1007/bf02756356", volume = "59" }