Connections between interval and unit circle for Sobolev orthogonal polynomials. Strong asymptotics on the real line

DOI10.1007/s10440-004-7025-yzbMath1076.42016OpenAlexW1985077962MaRDI QIDQ1776817

José M. García-Amor, Alicia Cachafeiro, Elías Berriochoa

Publication date: 12 May 2005

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-004-7025-y

zbMATH Keywords

orthogonal polynomialsSobolev inner productSzegő theory

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other special orthogonal polynomials and functions (33C47)

Related Items (1)

Asymptotics on the support for Sobolev orthogonal polynomials on a bounded interval

Cites Work

• Unnamed Item
• Strong asymptotics for the continuous Sobolev orthogonal polynomials on the unit circle
• Asymptotic properties of Sobolev orthogonal polynomials
• Orthogonal polynomials on Sobolev spaces: Old and new directions
• Zeros and critical points of Sobolev orthogonal polynomials
• Connection between orthogonal polynomials on the unit circle and bounded interval
• Asymptotic properties of Chebyshev-Sobolev orthogonal polynomials
• Relative asymptotics for orthogonal polynomials with a Sobolev inner product
• On the strong asymptotics for Sobolev orthogonal polynomials on the circle
• Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product
• Bernstein-Szegő's theorem for Sobolev orthogonal polynomials

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