Spectral analysis of a class of hermitian Jacobi matrices in a critical (double root) hyperbolic case

DOI10.1017/S001309150700106XzbMath1193.47034arXiv1003.3197OpenAlexW2010236587MaRDI QIDQ3400101

Sergey Simonov, Serguei Naboko

Publication date: 5 February 2010

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.3197

zbMATH Keywords

Jacobi matricesspectral analysisHermitian operators

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spectrum, resolvent (47A10) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (13)

On the instability of the essential spectrum for block Jacobi matrices ⋮ About essential spectra of unbounded Jacobi matrices ⋮ Measures for orthogonal polynomials with unbounded recurrence coefficients ⋮ Periodic perturbations of unbounded Jacobi matrices III: the soft edge regime ⋮ Self-adjoint second-order difference equations with unbounded coefficients in the double root case ⋮ Green matrix estimates of block Jacobi matrices. II: Bounded gap in the essential spectrum ⋮ Orthogonal polynomials with periodically modulated recurrence coefficients in the Jordan block case. II ⋮ Non-existence of subordinate solutions for Jacobi operators in some critical cases ⋮ Spectral analysis of the half-line Kronig-Penney model with Wigner-von Neumann perturbations ⋮ Spectral results for perturbed periodic Jacobi matrices using the discrete Levinson technique ⋮ ESTIMATES OF GENERALIZED EIGENVECTORS OF HERMITIAN JACOBI MATRICES WITH A GAP IN THE ESSENTIAL SPECTRUM ⋮ Titchmarsh-Weyl formula for the spectral density of a class of Jacobi matrices in the critical case ⋮ Green matrix estimates of block Jacobi matrices. I: Unbounded gap in the essential spectrum

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