RT Journal Article
T1 A Cubic decomposition of sequences of orthogonal polynomials on the unit circle
A1 Alfaro, Manuel
A1 Cantero, María José
A1 Marcellán Español, Francisco José
AB In this paper we will discuss the problem of generation of sequences of orthogonal polynomials with respect to measures supported on the unit circle from a given sequence of orthogonal polynomials using a perturbation of a cubic sieved process. The basic tools are the Szegö forward recurrence relation as well as the fact of the coprimality of orthogonal polynomials on the unit circle and their corresponding reverse polynomials. We also give the connection between the associated orthogonality measures. Finally, some examples of this cubic decomposition are shown.
PB Taylor & Francis
SN 1747-6933
YR 2002
FD 2002-09
LK https://hdl.handle.net/10016/6012
UL https://hdl.handle.net/10016/6012
LA eng
NO 15 pages, no figures.-- MSC2000 codes: 42C05.
NO MR#: MR1925172 (2003g:42039)
NO Zbl#: Zbl 1026.42026
NO The work of the first author was supported by Dirección General de Investigación (Ministerio de Ciencia y Tecnología) of Spain under grant BFM 2000-0206-C04-03. The work of the second author was supported by Dirección General de EnseñanzaSuperior (DGES) of Spain under grant PB 98-1615. The work of the third author was supported by Dirección General de Investigación (Ministerio de Ciencia y Tecnología) of Spain under grant BFM 2000-0206-C04-01 and INTAS project 2000-272.
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RD 27 jul. 2024