Christoffel transform of classical discrete measures and invariance of determinants of classical and classical discrete polynomials

Given a finite set of complex numbers U and a classical discrete measure μ, we consider the Christoffel transform . Under mild conditions on the finite set U, we show that the orthogonal polynomials with respect to enjoy a bunch of non trivial determinantal representations in terms of the classical...

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Autor: Durán Guardeño, Antonio José
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/182285
Acceso en línea:https://hdl.handle.net/11441/182285
https://doi.org/10.1016/j.jmaa.2021.125306
Access Level:acceso abierto
Palabra clave:Christoffel transforms
Classical discrete orthogonal polynomials
Classical orthogonal polynomials
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spelling Christoffel transform of classical discrete measures and invariance of determinants of classical and classical discrete polynomialsDurán Guardeño, Antonio JoséChristoffel transformsClassical discrete orthogonal polynomialsClassical orthogonal polynomialsGiven a finite set of complex numbers U and a classical discrete measure μ, we consider the Christoffel transform . Under mild conditions on the finite set U, we show that the orthogonal polynomials with respect to enjoy a bunch of non trivial determinantal representations in terms of the classical discrete orthogonal polynomials with respect to μ. Under additional assumptions on the finite set U, we dualize these determinantal representations and find some invariance properties for quasi Casoration determinants whose entries are classical discrete orthogonal polynomials. Passing to the limit we recover some known invariance properties for Wronskian determinant whose entries are classical polynomials.ElsevierAnálisis MatemáticoFQM262: Teoría de la Aproximación2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/182285https://doi.org/10.1016/j.jmaa.2021.125306reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Mathematical Analysis and Applications, 503 (2), 125306-1.10.1016/j.jmaa.2021.125306info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1822852026-06-17T12:51:07Z
dc.title.none.fl_str_mv Christoffel transform of classical discrete measures and invariance of determinants of classical and classical discrete polynomials
title Christoffel transform of classical discrete measures and invariance of determinants of classical and classical discrete polynomials
spellingShingle Christoffel transform of classical discrete measures and invariance of determinants of classical and classical discrete polynomials
Durán Guardeño, Antonio José
Christoffel transforms
Classical discrete orthogonal polynomials
Classical orthogonal polynomials
title_short Christoffel transform of classical discrete measures and invariance of determinants of classical and classical discrete polynomials
title_full Christoffel transform of classical discrete measures and invariance of determinants of classical and classical discrete polynomials
title_fullStr Christoffel transform of classical discrete measures and invariance of determinants of classical and classical discrete polynomials
title_full_unstemmed Christoffel transform of classical discrete measures and invariance of determinants of classical and classical discrete polynomials
title_sort Christoffel transform of classical discrete measures and invariance of determinants of classical and classical discrete polynomials
dc.creator.none.fl_str_mv Durán Guardeño, Antonio José
author Durán Guardeño, Antonio José
author_facet Durán Guardeño, Antonio José
author_role author
dc.contributor.none.fl_str_mv Análisis Matemático
FQM262: Teoría de la Aproximación
dc.subject.none.fl_str_mv Christoffel transforms
Classical discrete orthogonal polynomials
Classical orthogonal polynomials
topic Christoffel transforms
Classical discrete orthogonal polynomials
Classical orthogonal polynomials
description Given a finite set of complex numbers U and a classical discrete measure μ, we consider the Christoffel transform . Under mild conditions on the finite set U, we show that the orthogonal polynomials with respect to enjoy a bunch of non trivial determinantal representations in terms of the classical discrete orthogonal polynomials with respect to μ. Under additional assumptions on the finite set U, we dualize these determinantal representations and find some invariance properties for quasi Casoration determinants whose entries are classical discrete orthogonal polynomials. Passing to the limit we recover some known invariance properties for Wronskian determinant whose entries are classical polynomials.
publishDate 2021
dc.date.none.fl_str_mv 2021
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/182285
https://doi.org/10.1016/j.jmaa.2021.125306
url https://hdl.handle.net/11441/182285
https://doi.org/10.1016/j.jmaa.2021.125306
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Mathematical Analysis and Applications, 503 (2), 125306-1.
10.1016/j.jmaa.2021.125306
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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