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An Extension of the Coherent Pair of Measures of the Second Kind on the Unit Circle

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dc.contributor.authorGarza, Lino G.
dc.contributor.authorMarcellán, F.
dc.contributor.authorRanga, A. Sri [UNESP]
dc.contributor.editorFritz Gesztesy, Andrei Martinez-Finkelshtein
dc.contributor.institutionUniversidad de Monterrey
dc.contributor.institutionUniversidad Carlos III de Madrid
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2022-04-29T08:36:23Z
dc.date.available2022-04-29T08:36:23Z
dc.date.issued2021-01-01
dc.description.abstractThis paper deals with sequences of monic polynomials { Φn(μk;z)}n≥0, k = 0, 1, orthogonal with respect to two nontrivial Borel measures μk, k = 0, 1, supported on the unit circle, satisfying (formula presented) n ≥ 3, where bn ≠ 0. We find examples of pairs of measures (μ0, μ1) for which this property holds. The analysis of polynomials orthogonal with respect to the Sobolev inner product associated with the pair of measures (μ0, μ1) is presented. Some properties concerning their connection coefficients are given.en
dc.description.affiliationDepartamento de Física y Matemáticas Universidad de Monterrey
dc.description.affiliationDepartamento de Matemáticas Universidad Carlos III de Madrid
dc.description.affiliationDepartamento de Matemática IBILCE UNESP – Universidade Estadual Paulista
dc.description.affiliationUnespDepartamento de Matemática IBILCE UNESP – Universidade Estadual Paulista
dc.description.sponsorshipUniversidad Carlos III de Madrid
dc.format.extent113-142
dc.identifierhttp://dx.doi.org/10.1007/978-3-030-75425-9_8
dc.identifier.citationOperator Theory: Advances and Applications, v. 285, p. 113-142.
dc.identifier.dimensionspub.1142533459
dc.identifier.doi10.1007/978-3-030-75425-9_8
dc.identifier.isbn978-3-030-75424-2
dc.identifier.isbn978-3-030-75425-9
dc.identifier.issn2296-4878
dc.identifier.issn0255-0156
dc.identifier.orcid0000-0003-4331-4475
dc.identifier.orcid0000-0002-5124-8423
dc.identifier.orcid0000-0002-2755-0235
dc.identifier.scopus2-s2.0-85119148227
dc.identifier.urihttp://hdl.handle.net/11449/229893
dc.language.isoeng
dc.publisherSpringer Nature
dc.relation.ispartofOperator Theory: Advances and Applications
dc.rights.accessRightsAcesso abertopt
dc.rights.sourceRightsoa_all
dc.rights.sourceRightsgreen
dc.sourceScopus
dc.sourceDimensions
dc.subjectCoherent pairs of measures of the second kind
dc.subjectHessenberg matrices
dc.subjectOrthogonal polynomials on the unit circle
dc.subjectProbability measures on the unit circle
dc.subjectSobolev inner products on the unit circle
dc.titleAn Extension of the Coherent Pair of Measures of the Second Kind on the Unit Circleen
dc.typeCapítulo de livropt
dspace.entity.typePublication
relation.isOrgUnitOfPublication43c38943-bd6f-4fb6-a9a5-8482a1f632c0
relation.isOrgUnitOfPublication.latestForDiscovery43c38943-bd6f-4fb6-a9a5-8482a1f632c0
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas