A strong Szegő theorem for Jacobi matrices

DOI10.1007/s00220-007-0195-5zbMath1133.47025arXivmath/0604478OpenAlexW3105802389MaRDI QIDQ2385026

Eric Ryckman

Publication date: 11 October 2007

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

Full work available at URL: https://arxiv.org/abs/math/0604478

zbMATH Keywords

Sobolev spacesJacobi matricesGeronimus relationsweighted \(\ell^2\) spaces

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Spectrum, resolvent (47A10) Difference operators (39A70) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items

A spectral equivalence for Jacobi matrices ⋮ Analytic Scattering Theory for Jacobi Operators and Bernstein–Szegö Asymptotics of Orthogonal Polynomials ⋮ Erratum: A strong Szegő theorem for Jacobi matrices ⋮ Perturbations of orthogonal polynomials with periodic recursion coefficients ⋮ On the scattering problem in Ryckman's class of Jacobi matrices

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