Orthogonal polynomials, spectral measures, and absolute continuity

DOI10.1016/0377-0427(95)00104-2zbMath0889.42022OpenAlexW2046425930MaRDI QIDQ1917933

Yanyan Li

Publication date: 23 June 1998

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00104-2

zbMATH Keywords

orthogonal polynomialsspectral measureabsolute continuitymeasure of orthogonalityselfadjoint Jacobi matrix

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Difference operators (39A70)

Related Items (12)

About essential spectra of unbounded Jacobi matrices ⋮ Absolutely continuous Jacobi operators ⋮ Periodic perturbations of unbounded Jacobi matrices III: the soft edge regime ⋮ Orthogonal polynomials with periodically modulated recurrence coefficients in the Jordan block case. II ⋮ Deficiency indices of block Jacobi matrices: survey ⋮ Spectral theory of Jacobi operators with increasing coefficients. The critical case ⋮ Periodic perturbations of unbounded Jacobi matrices. I: Asymptotics of generalized eigenvectors. ⋮ Spectral theory of certain unbounded Jacobi matrices ⋮ Spectral theory of a class of block Jacobi matrices and applications ⋮ Mourre's theory for some unbounded Jacobi matrices ⋮ Absolute continuity for unbounded Jacobi matrices with constant row sums ⋮ Alternative approaches to the absolute continuity of Jacobi matrices with monotonic weights.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Tridiagonal matrix representations of cyclic self-adjoint operators. II
• Absolutely continuous measures for systems of orthogonal polynomials with unbounded recurrence coefficients
• Spectral analysis of second order difference equations
• Difference equations and \(J\)-matrices
• Cyclic Operators, Commutators, and Absolutely Continuous Measures

This page was built for publication: Orthogonal polynomials, spectral measures, and absolute continuity