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On semiclassical linear functionals: the symmetric companion

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorArvesú Carballo, Jorge
dc.contributor.authorAtia, Mohamed Jalel
dc.contributor.authorMarcellán Español, Francisco José
dc.date.accessioned2010-01-20T08:21:55Z
dc.date.available2010-01-20T08:21:55Z
dc.date.issued2002-01-18
dc.description17 pages, no figures.-- MSC2000 codes: Primary: 42C05; Secondary: 30C10.
dc.descriptionMR#: MR1931342 (2003h:42037)
dc.description.abstractIn this paper we analyze the symmetric companion of a quasi-definite linear functional. We focus our attention on semiclassical linear functionals and we analyze the class of symmetric companions in terms of the initial linear functional. We present some examples for classes zero and one. Finally, we consider symmetric linear functionals perturbed additively by Dirac masses.
dc.description.sponsorshipThe work of J. Arvesú and F. Marcellán was partially supported by Dirección General de Investigación (Ministerio de Ciencia y Tecnología) of Spain under grant BFM2000-0206-C04-01 and INTAS Project 2000-272. In addition, J. Avesú thanks Dirección General de Investigación (Comunidad Autónoma de Madrid) for its financial support.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationCommunications in the Analytic Theory of Continued Fractions, 2002, n. 10, p. 13-29
dc.identifier.urihttps://hdl.handle.net/10016/6524
dc.language.isoeng
dc.publisherMesa State College
dc.rights© Mesa State College
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherLinear functionals
dc.subject.otherOrthogonal polynomials
dc.subject.otherStieltjes functions
dc.subject.otherSemiclassical functionals
dc.subject.otherFinite perturbations
dc.titleOn semiclassical linear functionals: the symmetric companion
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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