Publication: Spectral transformations and associated linear functionals of the first kind
dc.affiliation.dpto | UC3M. Departamento de Matemáticas | es |
dc.affiliation.grupoinv | UC3M. Grupo de Investigación: Análisis Aplicado | es |
dc.contributor.author | García Ardila, Juan Carlos | |
dc.contributor.author | Marcellán Español, Francisco José | |
dc.contributor.funder | Agencia Estatal de Investigación (España) | es |
dc.date.accessioned | 2022-06-08T09:08:20Z | |
dc.date.available | 2022-06-08T09:08:20Z | |
dc.date.issued | 2021-06-01 | |
dc.description.abstract | Given 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.sponsorship | The 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.extent | 23 | |
dc.identifier.bibliographicCitation | García-Ardila, J. C., & Marcellán, F. (2021). Spectral Transformations and Associated Linear Functionals of the First Kind. Axioms, 10(2), 107. | en |
dc.identifier.doi | https://doi.org/10.3390/axioms10020107 | |
dc.identifier.issn | 2075-1680 | |
dc.identifier.publicationfirstpage | 1 | |
dc.identifier.publicationissue | 2 | |
dc.identifier.publicationlastpage | 23 | |
dc.identifier.publicationtitle | Axioms | en |
dc.identifier.publicationvolume | 10 | |
dc.identifier.uri | https://hdl.handle.net/10016/35030 | |
dc.identifier.uxxi | AR/0000030759 | |
dc.language.iso | eng | |
dc.publisher | MDPI | en |
dc.relation.projectID | Gobierno de España. PGC2018-096504-B-C33 | es |
dc.rights | © 2021 by the authors. | en |
dc.rights | Atribución 3.0 España | * |
dc.rights.accessRights | open access | en |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | * |
dc.subject.eciencia | Matemáticas | es |
dc.subject.other | Spectral transformation | en |
dc.subject.other | Darboux transformations | en |
dc.subject.other | First kind orthogonal polynomials | en |
dc.subject.other | Laguerre-hahn linear functional | en |
dc.title | Spectral transformations and associated linear functionals of the first kind | en |
dc.type | research article | * |
dc.type.hasVersion | VoR | * |
dspace.entity.type | Publication |
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