Spectral theory of Jacobi operators with increasing coefficients. The critical case

DOI10.4171/jst/481arXiv2305.19680OpenAlexW4392050118MaRDI QIDQ6203844

Publication date: 8 April 2024

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.19680

zbMATH Keywords

difference equations limiting absorption principle absolutely continuous spectrum Jost solutions increasing Jacobi coefficients

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)

Cites Work

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Titchmarsh-Weyl formula for the spectral density of a class of Jacobi matrices in the critical case
Universal relations in asymptotic formulas for orthogonal polynomials
Spectral theory of certain unbounded Jacobi matrices
Orthogonal polynomials
Spectral analysis of Jacobi operators and asymptotic behavior of orthogonal polynomials

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