Periodic perturbations of unbounded Jacobi matrices III: the soft edge regime

DOI10.1016/J.JAT.2018.04.006OpenAlexW2796047988WikidataQ129956860 ScholiaQ129956860MaRDI QIDQ1635260

Grzegorz Świderski

Publication date: 6 June 2018

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

Full work available at URL: https://arxiv.org/abs/1707.06486

zbMATH Keywords

orthogonal polynomialsspectral gapabsolute continuityJacobi matrixcompact resolventTurán determinants

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (7)

About essential spectra of unbounded Jacobi matrices ⋮ Orthogonal polynomials with periodically modulated recurrence coefficients in the Jordan block case. II ⋮ Deficiency indices of block Jacobi matrices: survey ⋮ Deficiency indices and discreteness property of block Jacobi matrices and Dirac operators with point interactions ⋮ Titchmarsh-Weyl formula for the spectral density of a class of Jacobi matrices in the critical case ⋮ Asymptotics of orthogonal polynomials with slowly oscillating recurrence coefficients ⋮ Asymptotic behaviour of Christoffel-Darboux kernel via three-term recurrence relation. I

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