Titchmarsh-Weyl formula for the spectral density of a class of Jacobi matrices in the critical case

DOI10.1134/S0016266321020027zbMath1478.15051arXiv1911.10282OpenAlexW3213998246MaRDI QIDQ2246827

Sergey Simonov, Serguei Naboko

Publication date: 16 November 2021

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.10282

zbMATH Keywords

asymptoticsorthogonal polynomialsspectral densityJacobi matrixgeneralized eigenvectorLevinson theoremTitchmarsh-Weyl theory

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Random matrices (algebraic aspects) (15B52)

Related Items (3)

About essential spectra of unbounded Jacobi matrices ⋮ Orthogonal polynomials with periodically modulated recurrence coefficients in the Jordan block case. II ⋮ Spectral theory of Jacobi operators with increasing coefficients. The critical case

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