Analytic Scattering Theory for Jacobi Operators and Bernstein–Szegö Asymptotics of Orthogonal Polynomials

DOI10.1142/9789813233867_0027zbMath1397.81067arXiv1711.05029OpenAlexW4248437397MaRDI QIDQ4689622

Dimitri Yafaev

Publication date: 16 October 2018

Published in: Ludwig Faddeev Memorial Volume (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.05029

zbMATH Keywords

orthogonal polynomialsJacobi matricesdiscrete Schrödinger operatorasymptotics for large numbersSzegö function

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (S)-matrix theory, etc. in quantum theory (81U20) Discrete version of topics in analysis (39A12) Difference operators (39A70) Linear difference operators (47B39) Scattering theory of linear operators (47A40)

Related Items (2)

Spectral analysis of Jacobi operators and asymptotic behavior of orthogonal polynomials ⋮ Scattering theory for Laguerre operators

This page was built for publication: Analytic Scattering Theory for Jacobi Operators and Bernstein–Szegö Asymptotics of Orthogonal Polynomials