Spectral measures and Jacobi matrices related to Laguerre-type systems of orthogonal polynomials

DOI10.1007/s003659900051zbMath0885.33005OpenAlexW2064972236MaRDI QIDQ1362766

O. Diekmann

Publication date: 22 April 1998

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s003659900051

zbMATH Keywords

eigenvaluesJacobi matricesabsolute continuous measures

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spectrum, resolvent (47A10) Difference operators (39A70) Linear difference operators (47B39)

Related Items (15)

Spectral properties of some Jacobi matrices with double weights. ⋮ Absolutely continuous Jacobi operators ⋮ Trace formula and spectral Riemann surfaces for a class of tri-diagonal matrices ⋮ The inverse resonance problem for Hermite operators ⋮ Alternative approaches to asymptotic behaviour of eigenvalues of some 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 ⋮ Asymptotic behavior of orthogonal polynomials. Singular critical case ⋮ Spectral properties of unbounded Jacobi matrices with almost monotonic weights ⋮ Spectral theory of certain unbounded Jacobi matrices ⋮ Asymptotics of large eigenvalues for some discrete unbounded Jacobi matrices ⋮ Mourre's theory for some unbounded Jacobi matrices ⋮ Absolute continuity for unbounded Jacobi matrices with constant row sums ⋮ Explicit Error Estimates for Eigenvalues of Some Unbounded Jacobi Matrices ⋮ Alternative approaches to the absolute continuity of Jacobi matrices with monotonic weights.

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