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

DOI10.1142/S0129055X18400196zbMath1405.33014MaRDI QIDQ4611514

Dimitri Yafaev

Publication date: 18 January 2019

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsJacobi matricesdiscrete Schrödinger operatorasymptotics for large numbersSzegö function

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Difference operators (39A70) Linear difference operators (47B39) Scattering theory of linear operators (47A40)

Related Items

Asymptotic behavior of orthogonal polynomials. Singular critical case, Semiclassical asymptotic behavior of orthogonal polynomials, Second-order differential operators in the limit circle case, Asymptotic behavior of orthogonal polynomials without the Carleman condition, Schrödinger wave operators on the discrete half-line

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