Publication:
Szegö transformations and Nth order associated polynomials on the unit circle

No Thumbnail Available
Identifiers
URI: https://hdl.handle.net/10016/5901
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2009.03.040
Files
index.html (290 B)
Publication date
2009-05
Defense date
Authors
Advisors
Tutors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Impact
Google Scholar
Export
Research Projects
Organizational Units
Journal Issue
Abstract
In this paper we analyze the Stieltjes functions defined by the Szegö inverse transformation of a nontrivial probability measure supported on the unit circle such that the corresponding sequence of orthogonal polynomials is defined by either backward or forward shifts in their Verblunsky parameters. Such polynomials are called anti-associated (respectively associated) orthogonal polynomials. Thus, rational spectral transformations appear in a natural way.
Description
13 pages, no figures.-- MSC2000 codes: 42C05, 15A23.
Keywords
Probability measures, Szegö transformations, Orthogonal polynomials, Nth associated orthogonal polynomials, Verblunsky parameters, Rational spectral transformations, Carathéodory and Stieltjes functions
Bibliographic citation
Computers and Mathematics with Applications, 2009, vol. 57, n. 10, p. 1659-1671
Collections
DM - GAMA - Artículos de Revistas