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Linear spectral transformations and Laurent polynomials

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorGarza, Luis
dc.contributor.authorMarcellán Español, Francisco José
dc.date.accessioned2009-12-01T13:42:22Z
dc.date.available2009-12-01T13:42:22Z
dc.date.issued2009-09-17
dc.description17 pages, 2 figures.-- MSC2000 codes: Primary 42C05; Secondary 15A23.
dc.description.abstractIn this manuscript we analyze some linear spectral transformations of a Hermitian linear functional using the multiplication by some class of Laurent polynomials. We focus our attention in the behavior of the Verblunsky parameters of the perturbed linear functional. Some illustrative examples are pointed out.
dc.description.sponsorshipThe work of the first author has been supported by a grant of Universidad Autónoma de Tamaulipas. The work of the second author has been supported by Dirección General de Investigación, Ministerio de Educación y Ciencia of Spain, grant MTM06-13000-C03-02. Both authors have been supported by project CCG07-UC3M/ESP-3339 with the financial support of Comunidad de Madrid-Universidad Carlos III de Madrid.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationMediterranean Journal of Mathematics, 2009, vol. 6, n. 3, p. 273-289
dc.identifier.doi10.1007/s00009-009-0008-5
dc.identifier.issn1660-5446 (Print)
dc.identifier.issn1660-5454 (Online)
dc.identifier.urihttps://hdl.handle.net/10016/5893
dc.language.isoeng
dc.publisherBirkhäuser Basel
dc.relation.publisherversionhttp://dx.doi.org/10.1007/s00009-009-0008-5
dc.rights© Springer
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherQuasi-definite linear functionals
dc.subject.otherLaurent polynomials
dc.subject.otherLinear spectral transformations
dc.subject.otherHessenberg matrices
dc.subject.otherVerblunsky parameters
dc.titleLinear spectral transformations and Laurent polynomials
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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