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dc.contributor.author
Eijsvoogel, Bruno
dc.contributor.author
Morey, Lucía
dc.contributor.author
Román, Pablo Manuel
dc.date.available
2024-01-02T11:57:31Z
dc.date.issued
2023-03
dc.identifier.citation
Eijsvoogel, Bruno; Morey, Lucía; Román, Pablo Manuel; Duality and Difference Operators for Matrix Valued Discrete Polynomials on the Nonnegative Integers; Springer; Constructive Approximation; 3-2023; 1-85
dc.identifier.issn
0176-4276
dc.identifier.uri
http://hdl.handle.net/11336/221937
dc.description.abstract
In this paper we introduce a notion of duality for matrix valued orthogonal polynomials with respect to a measure supported on the nonnegative integers. We show that the dual families are closely related to certain difference operators acting on the matrix orthogonal polynomials. These operators belong to the so called Fourier algebras, which play a key role in the construction of the families. In order to illustrate duality, we describe a family of Charlier type matrix orthogonal polynomials with explicit shift operators which allow us to find explicit formulas for three term recurrences, difference operators and squared norms. These are the essential ingredients for the construction of different dual families.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
CHARLIER POLYNOMIALS
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DIFFERENCE EQUATIONS
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DUALITY
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MATRIX VALUED ORTHOGONAL POLYNOMIALS
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PEARSON EQUATION
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Duality and Difference Operators for Matrix Valued Discrete Polynomials on the Nonnegative Integers
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-12-22T11:33:05Z
dc.journal.pagination
1-85
dc.journal.pais
Alemania
dc.description.fil
Fil: Eijsvoogel, Bruno. Radboud Universiteit Nijmegen; Países Bajos
dc.description.fil
Fil: Morey, Lucía. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
dc.description.fil
Fil: Román, Pablo Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
dc.journal.title
Constructive Approximation
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/10.1007/s00365-023-09637-1
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00365-023-09637-1
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