Sobolev Orthogonal Polynomials on the Unit Circle and Coherent Pairs of Measures of the Second Kind

dc.contributorUniversidad Carlos III de Madrid
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-12-11T17:08:27Z
dc.date.available2018-12-11T17:08:27Z
dc.date.created2018-12-11T17:08:27Z
dc.date.issued2017-06-01
dc.identifierResults in Mathematics, v. 71, n. 3-4, p. 1127-1149, 2017.
dc.identifier1420-9012
dc.identifier1422-6383
dc.identifierhttp://hdl.handle.net/11449/173948
dc.identifier10.1007/s00025-016-0631-y
dc.identifier2-s2.0-85006456801
dc.identifier2-s2.0-85006456801.pdf
dc.description.abstractWe refer to a pair of non trivial probability measures (μ0, μ1) supported on the unit circle as a coherent pair of measures of the second kind on the unit circle if the corresponding sequences of monic orthogonal polynomials {Φn(μ0;z)}n≥0 and {Φn(μ1;z)}n≥0 satisfy 1nΦn′(μ0;z)=Φn-1(μ1;z)-χnΦn-2(μ1;z), n≥ 2. It turns out that there are more interesting examples of pairs of measures on the unit circle with this latter coherency property than in the case of the standard coherence. The main objective in this contribution is to determine such pairs of measures. The polynomials orthogonal with respect to the Sobolev inner products associated with coherent pairs of measures of the second kind are also studied.
dc.languageeng
dc.relationResults in Mathematics
dc.relation0,582
dc.rightsAcesso aberto
dc.sourceScopus
dc.subjectcoherent pairs of measures of the second kind
dc.subjectOrthogonal polynomials on the unit circle
dc.subjectSobolev orthogonal polynomials on the unit circle
dc.titleSobolev Orthogonal Polynomials on the Unit Circle and Coherent Pairs of Measures of the Second Kind
dc.typeArtículos de revistas


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