RT Journal Article
T1 Szegö transformations and Nth order associated polynomials on the unit circle
A1 Garza, Luis
A1 Marcellán Español, Francisco José
AB 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.
PB Elsevier
SN 0898-1221
YR 2009
FD 2009-05
LK https://hdl.handle.net/10016/5901
UL https://hdl.handle.net/10016/5901
LA eng
NO 13 pages, no figures.-- MSC2000 codes: 42C05, 15A23.
NO The work of the first author has been supported by a grant of Universidad Autónoma de Tamaulipas. The work of the second author has been supported by Dirección General de Investigación, Ministerio de Educación y Ciencia of Spain, grant MTM06-13000-C03-02. Both authors have been supported by project CCG07-UC3M/ESP-3339 with the financial support of Comunidad de Madrid-Universidad Carlos III de Madrid.
DS e-Archivo
RD 27 jul. 2024