Barry Simon

发表

Fine structure of the zeros of orthogonal polynomials, II. OPUC with competing exponential decay

Barry Simon, B. Simon, 2004, Journal of Approximation Theory.

The statistical mechanics of lattice gases

Barry Simon, B. Simon, 1993 .

Ratio asymptotics and weak asymptotic measures for orthogonal polynomials on the real line

Barry Simon, B. Simon, 2004, J. Approx. Theory.

Riemannian metrics and complex analysis

Barry Simon, B. Simon, 2015 .

Regularity and the Cesàro-Nevai class

Barry Simon, B. Simon, 2007, J. Approx. Theory.

Locally Convex Spaces

Barry Simon, Michael C. Reed, 1972 .

Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle

Barry Simon, E. B. Davies, B. Simon, 2006, Journal of Approximation Theory.

Selected additional topics

Barry Simon, B. Simon, 2015 .

The ultimate companion to a comprehensive course in analysis

Barry Simon, 2015 .

Monotone Jacobi parameters and non-Szegö weights

Barry Simon, Yury Kreimer, Yoram Last, 2007, J. Approx. Theory.

Poisson brackets of orthogonal polynomials

Barry Simon, María José Cantero, M. J. Cantero, 2006, Journal of Approximation Theory.

Asymptotics of the L2 norm of derivatives of OPUC

Barry Simon, Andrei Martínez-Finkelshtein, B. Simon, 2010, J. Approx. Theory.

Cantor polynomials and some related classes of OPRL

Barry Simon, Helge Krüger, B. Simon, 2015, J. Approx. Theory.

Higher-order Szego theorems with two singular points

Barry Simon, Andrej Zlatos, B. Simon, 2004, Journal of Approximation Theory.

Lieb-Thirring Inequalities for Jacobi Matrices

Barry Simon, Dirk Hundertmark, B. Simon, 2001, Journal of Approximation Theory.

Appendix. Some Mathematical Background

Barry Simon, B. Simon, 2015 .

Analysis of Operators

Barry Simon, Michael C. Reed, M. Reed, 1978 .

Bonus chapter: Phase space analysis

Barry Simon, B. Simon, 2015 .

Chapter X: Additional Results and Techniques: A Brief Introduction

Barry Simon, B. Simon, 2015 .

Finite gap Jacobi matrices: An announcement

Barry Simon, Jacob S. Christiansen, Maxim Zinchenko, 2007, Journal of Computational and Applied Mathematics.

Zeros of orthogonal polynomials on the real line

Barry Simon, Sergey A. Denisov, B. Simon, 2002, Journal of Approximation Theory.

The P(φ)[2] Euclidean (quantum) field theory

Barry Simon, B. Simon, 1974 .

Quantum Mechanics for Hamiltonians Defined as Quadratic Forms

Barry Simon, B. Simon, 1971 .

Comparison of Ising Models Under Change of Apriori Measure

Barry Simon, Jos'e Madrid, Daniel R. Wells, 2022, 2201.10128.

Remarks on periodic Jacobi matrices on trees

Barry Simon, Jacob S. Christiansen, Maxim Zinchenko, 2020, Journal of Mathematical Physics.

Asymptotics of Chebyshev polynomials, V. residual polynomials

Barry Simon, Jacob S. Christiansen, Maxim Zinchenko, 2020, The Ramanujan Journal.

The strong Gauss–Lucas theorem and analyticity of correlation functions via the Lee–Yang theorem

Barry Simon, B. Simon, 2021, Journal of Mathematics and Physics.

Large orders and summability of eigenvalue perturbation theory: A mathematical overview

Barry Simon, B. Simon, 1982 .

m-Functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices

Barry Simon, Fritz Gesztesy, B. Simon, 1997 .

Monotonicity of the electronic contribution to the Born-Oppenheimer energy

Barry Simon, Elliott H. Lieb, E. Lieb, 1978 .

Aizenman's Theorem for Orthogonal Polynomials on the Unit Circle

Barry Simon, B. Simon, 2004, math/0411388.

Quadratic form techniques and the Balslev-Combes theorem

Barry Simon, B. Simon, 1972 .

Notes on infinite determinants of Hilbert space operators

Barry Simon, B. Simon, 1977 .

Explicit Construction of Solutions of the Modified Kadomtsev-Petviashvili Equation

Barry Simon, Fritz Gesztesy, B. Simon, 1991 .

Coupling constant analyticity for the anharmonic oscillator

Barry Simon, B. Simon, A Dicke, 1970 .

A canonical decomposition for quadratic forms with applications to monotone convergence theorems

Barry Simon, B. Simon, Barry Simon, 1978 .

Variational Estimates for Discrete Schrödinger Operators with Potentials of Indefinite Sign

Barry Simon, David Damanik, Dirk Hundertmark, 2002, math-ph/0211015.

Resonances in n-Body Quantum Systems With Dilatation Analytic Potentials and the Foundations of Time-Dependent Perturbation Theory

Barry Simon, B. Simon, 1973 .

Studies in mathematical physics : essays in honor of Valentine Bargmann

Barry Simon, Elliott H. Lieb, A. S. Wightman, 2015 .

Schrödinger operators in the twentieth century

Barry Simon, B. Simon, 2000 .

Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase

Barry Simon, B. Simon, 1983 .

Correlation inequalities and the mass gap inP (φ)2

Barry Simon, Francesco Guerra, F. Guerra, 1973 .

Orthogonal Polynomials on the Unit Circle

Barry Simon, B. Simon, 2004, Encyclopedia of Special Functions: The Askey-Bateman Project.

Spectral analysis of rank one perturbations and applications

Barry Simon, B. Simon, 1995 .

The Christoffel-Darboux Kernel

Barry Simon, B. Simon, 2008, 0806.1528.

Unique continuation for Schrodinger operators with unbounded potentials

Martin Schechter, Barry Simon, B. Simon, 1980 .

The (φ4)2 field theory as a classical Ising model

Barry Simon, Robert B. Griffiths, B. Simon, 1973 .

The definition of molecular resonance curves by the method of exterior complex scaling

Barry Simon, B. Simon, 1979 .

Witten index, axial anomaly, and Krein's spectral shift function in supersymmetric quantum mechanics

Barry Simon, Désiré Bollé, Fritz Gesztesy, 1987 .

A new approach to inverse spectral theory, II. General real potentials and the connection to the spectral measure

Barry Simon, Fritz Gesztesy, B. Simon, 1998, math/9809182.

Pointwise domination of matrices and comparison of ℐ_p norms

Barry Simon, B. Simon, 1981 .

Szego's Theorem and Its Descendants: Spectral Theory for L2 Perturbations of Orthogonal Polynomials (M. B. Porter Lectures)

Barry Simon, 2010 .

A new approach to inverse spectral theory

Barry Simon, B. Simon, 2016 .

Methods of modern mathematical physics. III. Scattering theory

Barry Simon, M. Reed, B. Simon, 1979 .

Semiclassical analysis of low lying eigenvalues. I. Non-degenerate minima : asymptotic expansions

Barry Simon, B. Simon, 1983 .

The Nevai Condition

Barry Simon, Yoram Last, Jonathan Breuer, 2008, 0809.2255.

Schrodinger Operators: With Application to Quantum Mechanics and Global Geometry

Hans L. Cycon, Barry Simon, B. Simon, 1987 .

Ultracontractivity and the Heat Kernel for Schrijdinger Operators and Dirichlet Laplacians

Barry Simon, B. Simon, E. Davies, 1987 .

The asymptotics of the gap in the Mathieu equation

Barry Simon, B. Simon, J. Avron, 1981 .

The classical limit of quantum partition functions

Barry Simon, B. Simon, 1980 .

Fifty years of eigenvalue perturbation theory

Barry Simon, B. Simon, 1991 .

Tensor products of closed operators on Banach spaces

Barry Simon, M. Reed, B. Simon, 1973 .

Topics in Ergodic Theory

Barry Simon, B. Simon, Y. Sinai, 1994 .

A new approach to inverse spectral theory, I. Fundamental formalism

Barry Simon, B. Simon, 1999, math/9906118.

The Hartree-Fock theory for Coulomb systems

Barry Simon, Elliott H. Lieb, E. Lieb, 1977 .

The P(φ) 2 Euclidean Quantum Field Theory as Classical Statistical Mechanics

Barry Simon, Francesco Guerra, F. Guerra, 1975 .

Loewner's Theorem on Monotone Matrix Functions

Barry Simon, B. Simon, 2019, Grundlehren der mathematischen Wissenschaften.

The Analytic Theory of Matrix Orthogonal Polynomials

Barry Simon, David Damanik, Alexander Pushnitski, 2007, 0711.2703.

Resonances in One Dimension and Fredholm Determinants

Barry Simon, B. Simon, 2000 .

Weakly coupled bound states in quantum waveguides

Barry Simon, Fritz Gesztesy, B. Simon, 1997 .

Orthogonal polynomials on the unit circle. Part 1

Barry Simon, B. Simon, 2005 .

Subharmonicity of the Lyaponov index

Barry Simon, Walter Craig, B. Simon, 1983 .

CMV matrices: Five years after

Barry Simon, B. Simon, 2006, math/0603093.

Semiclassical analysis of low lying eigenvalues, II. Tunneling*

Barry Simon, B. Simon, 1984 .

Operators with Singular Continuous Spectrum: I. General Operators

Barry Simon, B. Simon, 1995 .

Correlation inequalities and the decay of correlations in ferromagnets

Barry Simon, B. Simon, 1980 .

Comparison theorems for the gap of Schrödinger òperators

Barry Simon, Werner Kirsch, B. Simon, 1987 .

Log hölder continuity of the integrated density of states for stochastic Jacobi matrices

Barry Simon, Walter Craig, B. Simon, 1983 .

The bound state of weakly coupled Schrödinger operators in one and two dimensions

Barry Simon, B. Simon, 1976 .

Ordinary differential equations in the complex domain

Barry Simon, B. Simon, 2015 .

Singular continuous spectrum for palindromic Schrödinger operators

Barry Simon, Oliver Knill, B. Simon, 1995 .

The essential spectrum of Neumann Laplacians on some bounded singular domains

Barry Simon, Rainer Hempel, B. Simon, 1991 .

Strongly bound states of hydrogen in intense magnetic field

Barry Simon, B. Simon, I. Herbst, 1979 .

Analytic properties of band functions

Barry Simon, B. Simon, J. Avron, 1978 .

Methods of Mathematical Physics, V. I: Functional Analysis.

Barry Simon, M. Reed, B. Simon, 1973 .

The Statistical Mechanics of Lattice Gases, Volume I

Barry Simon, B. Simon, 2014 .

Chern numbers, quaternions, and Berry's phases in Fermi systems

Barry Simon, Lorenzo Sadun, Jan Segert, 1989 .

Resonances and complex scaling: a rigorous overview

Barry Simon, B. Simon, 1978 .

The Hartree-Fock theory for Coulomb systems

Barry Simon, Elliott H. Lieb, E. Lieb, 1977 .

Asymptotics of Chebyshev polynomials, I: subsets of $${\mathbb {R}}$$R

Barry Simon, Jacob S. Christiansen, Maxim Zinchenko, 2015, 1709.06707.

Topological invariance of the Witten index

Barry Simon, Fritz Gesztesy, B. Simon, 1988 .

OPUC on one foot

Barry Simon, B. Simon, 2005, math/0502485.