Ratio Asymptotics, Hessenberg Matrices, and Weak Asymptotic Measures

DOI10.1093/imrn/rnt187zbMath1306.30001arXiv1303.4813OpenAlexW2046824638MaRDI QIDQ2937707

Brian Simanek

Publication date: 12 January 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4813

zbMATH Keywords

orthogonal polynomialsToeplitz operatorsBergman shift operator

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Polynomials and rational functions of one complex variable (30C10)

Related Items (5)

Relative asymptotics of orthogonal polynomials for perturbed measures ⋮ Inverse theorem on row sequences of linear Padé-orthogonal approximation ⋮ Positive functionals and Hessenberg matrices ⋮ The Bergman shift operator on polynomial lemniscates ⋮ Block Hessenberg matrices and spectral transformations for matrix orthogonal polynomials on the unit circle

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