A new approach to ratio asymptotics for orthogonal polynomials

DOI10.4171/JST/34zbMath1266.42070arXiv1111.6348OpenAlexW2026640645MaRDI QIDQ1943738

Brian Simanek

Publication date: 20 March 2013

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.6348

zbMATH Keywords

orthogonal polynomialsratio asymptoticsregular measures

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Convergence of probability measures (60B10) Polynomials and rational functions of one complex variable (30C10)

Related Items (6)

Asymptotics of Carleman polynomials for level curves of the inverse of a shifted Zhukovsky transformation ⋮ Relative asymptotics of orthogonal polynomials for perturbed measures ⋮ Spectra of a class of non-self-adjoint matrices ⋮ The Bergman shift operator on polynomial lemniscates ⋮ Asymptotics of polynomials orthogonal over circular multiply connected domains ⋮ Orthogonal Polynomials for Area-Type Measures and Image Recovery

Cites Work

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• Asymptotic properties of extremal polynomials corresponding to measures supported on analytic regions
• Ratio asymptotics and weak asymptotic measures for orthogonal polynomials on the real line
• Weak convergence of CD kernels: A new approach on the circle and real line
• Asymptotics of orthogonal polynomials and point perturbation on the unit circle
• Weak convergence of CD kernels and applications
• Regularity and the Cesàro-Nevai class
• On the asymptotic behavior of Faber polynomials for domains with piecewise analytic boundary
• Verblunsky parameters and linear spectral transformations
• Ratio asymptotics and quadrature formulas
• Ratio and relative asymptotics of polynomials orthogonal on an arc of the unit circle
• Ratio and relative asymptotics of polynomials orthogonal with respect to varying Denisov-type measures
• Orthogonal Polynomials with Ratio Asymptotics
• Orthogonal polynomials
• Pseudo-uniform Convexity in H^p and Some Extremal Problems on Sobolev Spaces
• The Nevai condition

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