A necessary condition for the extension of Szegö's asymptotics inside the disk in the Sobolev case

DOI10.1016/S0377-0427(02)00606-4zbMath1014.42018MaRDI QIDQ1874142

Elías Berriochoa, Alicia Cachafeiro

Publication date: 22 May 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsSobolev inner productmeasures on the unit circleSzegő 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

• Extension inside the disk of asymptotics for Sobolev orthogonal polynomials
• Strong asymptotics for the continuous Sobolev orthogonal polynomials on the unit circle
• Strong asymptotics inside the unit disk for Sobolev orthogonal polynomials.
• On the strong asymptotics for Sobolev orthogonal polynomials on the circle
• Bernstein-Szegő's theorem for Sobolev orthogonal polynomials
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