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SZEGO and PARA-ORTHOGONAL POLYNOMIALS on THE REAL LINE: ZEROS and CANONICAL SPECTRAL TRANSFORMATIONS

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dc.contributor.authorCastillo, Kenier [UNESP]
dc.contributor.authorLamblem, Regina Litz
dc.contributor.authorRafaeli, Fernando Rodrigo [UNESP]
dc.contributor.authorRanga, Alagacone Sri [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Mato Grosso do Sul (UEMS)
dc.date.accessioned2014-05-20T15:31:55Z
dc.date.available2014-05-20T15:31:55Z
dc.date.issued2012-10-01
dc.description.abstractWe study polynomials which satisfy the same recurrence relation as the Szego polynomials, however, with the restriction that the (reflection) coefficients in the recurrence are larger than one in modulus. Para-orthogonal polynomials that follow from these Szego polynomials are also considered. With positive values for the reflection coefficients, zeros of the Szego polynomials, para-orthogonal polynomials and associated quadrature rules are also studied. Finally, again with positive values for the reflection coefficients, interlacing properties of the Szego polynomials and polynomials arising from canonical spectral transformations are obtained.en
dc.description.affiliationUniv Estadual Paulista UNESP, IBILCE, Dept Ciencias Comp & Estat, Jaboticabal, Brazil
dc.description.affiliationUniv Estadual Mato Grosso do Sul UEMS, Campo Grande, Brazil
dc.description.affiliationUniv Estadual Paulista UNESP, FCT, Dept Matemat Estat & Comp, Jaboticabal, Brazil
dc.description.affiliationUnespUniv Estadual Paulista UNESP, IBILCE, Dept Ciencias Comp & Estat, Jaboticabal, Brazil
dc.description.affiliationUnespUniv Estadual Paulista UNESP, FCT, Dept Matemat Estat & Comp, Jaboticabal, Brazil
dc.description.sponsorshipDireccion General de Investigacion, Ministerio de Educacion Ciência of Spain
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipDireccion General de Investigacion, Ministerio de Ciência e Innovacion of Spain
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipIdDireccion General de Investigacion, Ministerio de Educacion Ciência of Spain: CAPES/DGU 160/08
dc.description.sponsorshipIdCAPES: DGU 160/08
dc.description.sponsorshipIdDireccion General de Investigacion, Ministerio de Ciência e Innovacion of Spain: MTM2009-12740-C03-01
dc.description.sponsorshipIdFAPESP: 09/13832-9
dc.format.extent2229-2249
dc.identifierhttp://www.ams.org/journals/mcom/2012-81-280/S0025-5718-2012-02593-2/
dc.identifier.citationMathematics of Computation. Providence: Amer Mathematical Soc, v. 81, n. 280, p. 2229-2249, 2012.
dc.identifier.issn0025-5718
dc.identifier.lattes3587123309745610
dc.identifier.urihttp://hdl.handle.net/11449/40946
dc.identifier.wosWOS:000309315200013
dc.language.isoeng
dc.publisherAmer Mathematical Soc
dc.relation.ispartofMathematics of Computation
dc.relation.ispartofjcr1.750
dc.relation.ispartofsjr1,939
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectSzegö polynomialsen
dc.subjectPara-orthogonal polynomialsen
dc.subjectreflection coefficientsen
dc.subjectcanonical spectral transformationsen
dc.titleSZEGO and PARA-ORTHOGONAL POLYNOMIALS on THE REAL LINE: ZEROS and CANONICAL SPECTRAL TRANSFORMATIONSen
dc.typeArtigo
dcterms.licensehttp://www.ams.org/publications/journals/journal-terms-of-use
dcterms.rightsHolderAmer Mathematical Soc
dspace.entity.typePublication
unesp.author.lattes3587123309745610[4]
unesp.author.orcid0000-0003-4803-8182[1]
unesp.author.orcid0000-0002-5124-8423[4]
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Ciências e Tecnologia, Presidente Prudentept
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática e Computação - FCTpt
unesp.departmentCiências da Computação e Estatística - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas
Presidente Prudente - FCT - Faculdade de Ciências e Tecnologia