On the asymptotics of polynomials orthogonal on a system of curves with respect to a measure with discrete part

DOI10.1090/S1061-0022-10-01091-5zbMath1197.42014MaRDI QIDQ3586746

A. A. Kononova, Valeriy A. Kalyagin

Publication date: 1 September 2010

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsHardy spacesstrong asymptoticsmultivalued functionsextremal problem

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Asymptotic representations in the complex plane (30E15)

Related Items (2)

Asymptotic properties of extremal polynomials corresponding to measures supported on analytic regions ⋮ The Bergman shift operator on polynomial lemniscates

Cites Work

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• Asymptotics of orthogonal polynomials beyond the scope of Szegő's theorem
• On the assignment of a Dirac-mass for a regular and semi-classical form
• Asymptotic behavior of orthogonal polynomials corresponding to measure with discrete part off the unit circle
• A note on the asymptotics of orthogonal polynomials on a complex arc: The case of a measure with a discrete part
• Ratio and relative asymptotics of polynomials orthogonal on an arc of the unit circle
• The Riemann--Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]
• Extremal polynomials associated with a system of curves in the complex plane
• Asymptotics of orthonormal polynomials in the presence of a denumerable set of mass points
• Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory

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