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Spectral transformations and associated linear functionals of the first kind

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorGarcía Ardila, Juan Carlos
dc.contributor.authorMarcellán Español, Francisco José
dc.contributor.funderAgencia Estatal de Investigación (España)es
dc.date.accessioned2022-06-08T09:08:20Z
dc.date.available2022-06-08T09:08:20Z
dc.date.issued2021-06-01
dc.description.abstractGiven a quasi-definite linear functional u in the linear space of polynomials with complex coefficients, let us consider the corresponding sequence of monic orthogonal polynomials (SMOP in short) (Pn)n≥0. For a canonical Christoffel transformation ue = (x − c)u with SMOP (Pen)n≥0, we are interested to study the relation between ue and ug(1) , where u (1) is the linear functional for the associated orthogonal polynomials of the first kind (P (1) n )n≥0, and ug(1) = (x − c)u (1) is its Christoffel transformation. This problem is also studied for canonical Geronimus transformations.en
dc.description.sponsorshipThe work of the second author (FM) has been supported by Agencia Estatal de Investigación (AEI) of Spain and Fondo Europeo de Desarrollo Regional (FEDER), grant PGC2018-096504-B-C33.en
dc.format.extent23
dc.identifier.bibliographicCitationGarcía-Ardila, J. C., & Marcellán, F. (2021). Spectral Transformations and Associated Linear Functionals of the First Kind. Axioms, 10(2), 107.en
dc.identifier.doihttps://doi.org/10.3390/axioms10020107
dc.identifier.issn2075-1680
dc.identifier.publicationfirstpage1
dc.identifier.publicationissue2
dc.identifier.publicationlastpage23
dc.identifier.publicationtitleAxiomsen
dc.identifier.publicationvolume10
dc.identifier.urihttps://hdl.handle.net/10016/35030
dc.identifier.uxxiAR/0000030759
dc.language.isoeng
dc.publisherMDPIen
dc.relation.projectIDGobierno de España. PGC2018-096504-B-C33es
dc.rights© 2021 by the authors.en
dc.rightsAtribución 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subject.ecienciaMatemáticases
dc.subject.otherSpectral transformationen
dc.subject.otherDarboux transformationsen
dc.subject.otherFirst kind orthogonal polynomialsen
dc.subject.otherLaguerre-hahn linear functionalen
dc.titleSpectral transformations and associated linear functionals of the first kinden
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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