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A Cubic decomposition of sequences of orthogonal polynomials on the unit circle

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorAlfaro, Manuel
dc.contributor.authorCantero, María José
dc.contributor.authorMarcellán Español, Francisco José
dc.date.accessioned2009-12-11T15:11:56Z
dc.date.available2009-12-11T15:11:56Z
dc.date.issued2002-09
dc.description15 pages, no figures.-- MSC2000 codes: 42C05.
dc.descriptionMR#: MR1925172 (2003g:42039)
dc.descriptionZbl#: Zbl 1026.42026
dc.description.abstractIn 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.
dc.description.sponsorshipThe 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 Enseñanza Superior (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.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationComplex Variables and Elliptic Equations, 2002, vol. 47, n. 9, p. 745-759
dc.identifier.doi10.1080/02781070290032252
dc.identifier.issn1747-6933
dc.identifier.urihttps://hdl.handle.net/10016/6012
dc.language.isoeng
dc.publisherTaylor & Francis
dc.relation.publisherversionhttp://dx.doi.org/10.1080/02781070290032252
dc.rights© Taylor & Francis
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherOrthogonal polynomials
dc.subject.otherReflection parameters
dc.subject.otherCarathéodory functions
dc.titleA Cubic decomposition of sequences of orthogonal polynomials on the unit circle
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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