Asymptotics of orthogonal polynomials via the Koosis theorem

DOI10.4310/MRL.2006.V13.N6.A12zbMath1110.41015arXivmath-ph/0510012MaRDI QIDQ862074

Peter Yuditskii, Alexander Volberg, F. L. Nazarov

Publication date: 5 February 2007

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0510012

zbMATH Keywords

orthogonal polynomialsextremal problemsBlaschke productSzegő's theoremweighted Hilbert transform

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) General harmonic expansions, frames (42C15) Polynomials and rational functions of one complex variable (30C10)

Related Items (3)

Relative asymptotics of orthogonal polynomials for perturbed measures ⋮ Asymptotic properties of extremal polynomials corresponding to measures supported on analytic regions ⋮ Asymptotics of extremal polynomials off the unit circle

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