Publication:
A scalar Riemann boundary value problem approach to orthogonal polynomials on the circle

Thumbnail Image
Identifiers
URI: https://hdl.handle.net/10016/5939
ISSN: 0021-9045
DOI: 10.1016/j.jat.2006.03.003
Files
scalar_marcellan_jat_2006_ps.pdf (358.65 KB)
Publication date
2006-08
Defense date
Authors
Advisors
Tutors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Impact
Google Scholar
Export
Research Projects
Organizational Units
Journal Issue
Abstract
A scalar Riemann boundary value problem defining orthogonal polynomials on the unit circle and the corresponding functions of the second kind is obtained. The Riemann problem is used for the asymptotic analysis of the polynomials orthogonal with respect to an analytical real-valued weight on the circle.
Description
8 pages, no figures.-- MSC2000 codes: 33C47; 42C05.
MR#: MR2252097 (2007k:33010)
Zbl#: Zbl 1130.42025
Keywords
Riemann boundary value problems, Orthogonal polynomials, Carathéodory function, Szegö's function
Bibliographic citation
Journal of Approximation Theory, 2006, vol. 141, n. 2, p. 174-181
Collections
DM - GAMA - Artículos de Revistas