The supports of measures associated with orthogonal polynomials and the spectra of the related self-adjoint operators

DOI10.1216/rmjm/1181073020zbMath0731.42021OpenAlexW2006909888MaRDI QIDQ807913

Attila Máté, Paul G. Nevai, Walter Van Assche

Publication date: 1991

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181073020

zbMATH Keywords

orthogonal polynomialsspectrumselfadjoint operatorsHardy classpositive Borel measurerecurrence coefficientsBlumenthal's theoremH. Weyl's theorem on compact perturbationsPoincaré's theorem on recurrence equationssupport of measures

Mathematics Subject Classification ID

Related Items (25)

Otto Blumenthal (1876--1944) in retrospect ⋮ Compact Jacobi matrices: From Stieltjes to Krein and \(M(a,b)\) ⋮ On inherited properties and Julia sets of exceptional Jacobi polynomials ⋮ Ratio asymptotics and quadrature formulas ⋮ The asymptotic properties of the spectrum of nonsymmetrically perturbed Jacobi matrix sequences ⋮ Multiplication operator and average characteristic polynomial associated with exceptional Jacobi polynomials ⋮ A method of localizing the spectra of sequences of orthogonal polynomials ⋮ Ratio asymptotics for orthogonal matrix polynomials ⋮ On orthogonal polynomials obtained via polynomial mappings ⋮ On generalized averaged Gaussian formulas. II ⋮ A note on generalized averaged Gaussian formulas for a class of weight functions ⋮ Spectral properties of certain tridiagonal matrices ⋮ Stieltjes polynomials and related quadrature formulae for a class of weight functions ⋮ Approximating the weight function for orthogonal polynomials on several intervals ⋮ Orthogonal polynomials: Their growth relative to their sums ⋮ Stieltjes polynomials and related quadrature formulae for a class of weight functions. II. ⋮ Anti-Gaussian quadrature formulae based on the zeros of Stieltjes polynomials ⋮ Complex Jacobi matrices ⋮ Ratio asymptotics for orthogonal matrix polynomials with unbounded recurrence coefficients ⋮ Ted Chihara and his work on orthogonal polynomials ⋮ 45 years of orthogonal polynomials: A view from the wings ⋮ Asymptotic distribution of the zeros of recursively defined non-orthogonal polynomials ⋮ The spectrum of a periodic complex Jacobi matrix revisited ⋮ Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle ⋮ Blumenthal's theorem for Laurent orthogonal polynomials

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• Orthogonal polynomials with asymptotically periodic recurrent coefficients
• The one-quarter class of orthogonal polynomials
• Asymptotics for orthogonal polynomials
• A class of orthogonal polynomials
• Orthogonal polynomials
• A note on topological model theory
• On multipliers preserving convergence of trigonometric series almost everywhere
• Abstract Formulation of the Quantum Mechanical Oscillator Phase Problem

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