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Orthogonal polynomials and measures on the unit circle. The Geronimus transformations

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorGarza, Luis
dc.contributor.authorHernández, Javier
dc.contributor.authorMarcellán Español, Francisco José
dc.date.accessioned2009-12-02T11:41:28Z
dc.date.available2009-12-02T11:41:28Z
dc.date.issued2010-01
dc.description12 pages, no figures.-- MSC2000 codes: 42C05, 15A23.-- Published in Special Issue dedicated to William B. Gragg on the occasion of his 70th birthday.
dc.description.abstractIn this paper we analyze a perturbation of a nontrivial positive measure supported on the unit circle. This perturbation is the inverse of the Christoffel transformation and is called the Geronimus transformation. We study the corresponding sequences of monic orthogonal polynomials as well as the connection between the associated Hessenberg matrices. Finally, we show an example of this kind of transformation.
dc.description.sponsorshipThe work of the first author (L. Garza) has been supported by a grant from the Universidad Autónoma de Tamaulipas. The work of the second author (J. Hernández) has been supported by a grant from the Fundación Universidad Carlos III de Madrid. The research of the third author (F. Marcellán) has been supported by Dirección General de Investigación, Ministerio de Educación y Ciencia of Spain, grant MTM 2006-13000-C03-02.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationJournal of Computational and Applied Mathematics, 2010, vol. 233, n. 5, p. 1220-1231
dc.identifier.doi10.1016/j.cam.2007.11.023
dc.identifier.issn0377-0427
dc.identifier.urihttps://hdl.handle.net/10016/5908
dc.language.isoeng
dc.publisherElsevier
dc.relation.publisherversionhttp://dx.doi.org/10.1016/j.cam.2007.11.023
dc.rights© Elsevier
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherMeasures on the unit circle
dc.subject.otherOrthogonal polynomials
dc.subject.otherSpectral transformations
dc.subject.otherHessenberg matrices
dc.titleOrthogonal polynomials and measures on the unit circle. The Geronimus transformations
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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