Corrigendum on the proof of completeness for exceptional Hermite polynomials.

Exceptional orthogonal polynomials are complete families of orthogonal polynomials that arise as eigenfunctions of a Sturm-Liouville problem. Antonio Duran discovered a gap in the original proof of completeness for exceptional Hermite polynomials, that has propagated to analogous results for other e...

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Detalles Bibliográficos
Autores: Gómez-Ullate Oteiza, David, Grandati, Yves, Milson, Robert
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/6203
Acceso en línea:https://hdl.handle.net/20.500.14352/6203
Access Level:acceso abierto
Palabra clave:51-73
Exceptional Hermite polynomials
Trivial monodromy potentials
Completeness.
Física-Modelos matemáticos
Física matemática
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spelling Corrigendum on the proof of completeness for exceptional Hermite polynomials.Gómez-Ullate Oteiza, DavidGrandati, YvesMilson, Robert51-73Exceptional Hermite polynomialsTrivial monodromy potentialsCompleteness.Física-Modelos matemáticosFísica matemáticaExceptional orthogonal polynomials are complete families of orthogonal polynomials that arise as eigenfunctions of a Sturm-Liouville problem. Antonio Duran discovered a gap in the original proof of completeness for exceptional Hermite polynomials, that has propagated to analogous results for other exceptional families In this paper we provide an alternative proof that follows essentially the same arguments, but provides a direct proof of the key lemma on which the completeness proof is based. This direct proof makes use of the theory of trivial monodromy potentials developed by Duistermaat and Grtinbaum and Oblomkov. (C) 2019 Published by Elsevier Inc.Academic Press Inc Elsevier ScienceUniversidad Complutense de Madrid20202020-05-0120202020-05-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/6203reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución-NoComercial-SinDerivadas 3.0 Españahttps://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/62032026-06-02T12:44:21Z
dc.title.none.fl_str_mv Corrigendum on the proof of completeness for exceptional Hermite polynomials.
title Corrigendum on the proof of completeness for exceptional Hermite polynomials.
spellingShingle Corrigendum on the proof of completeness for exceptional Hermite polynomials.
Gómez-Ullate Oteiza, David
51-73
Exceptional Hermite polynomials
Trivial monodromy potentials
Completeness.
Física-Modelos matemáticos
Física matemática
title_short Corrigendum on the proof of completeness for exceptional Hermite polynomials.
title_full Corrigendum on the proof of completeness for exceptional Hermite polynomials.
title_fullStr Corrigendum on the proof of completeness for exceptional Hermite polynomials.
title_full_unstemmed Corrigendum on the proof of completeness for exceptional Hermite polynomials.
title_sort Corrigendum on the proof of completeness for exceptional Hermite polynomials.
dc.creator.none.fl_str_mv Gómez-Ullate Oteiza, David
Grandati, Yves
Milson, Robert
author Gómez-Ullate Oteiza, David
author_facet Gómez-Ullate Oteiza, David
Grandati, Yves
Milson, Robert
author_role author
author2 Grandati, Yves
Milson, Robert
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 51-73
Exceptional Hermite polynomials
Trivial monodromy potentials
Completeness.
Física-Modelos matemáticos
Física matemática
topic 51-73
Exceptional Hermite polynomials
Trivial monodromy potentials
Completeness.
Física-Modelos matemáticos
Física matemática
description Exceptional orthogonal polynomials are complete families of orthogonal polynomials that arise as eigenfunctions of a Sturm-Liouville problem. Antonio Duran discovered a gap in the original proof of completeness for exceptional Hermite polynomials, that has propagated to analogous results for other exceptional families In this paper we provide an alternative proof that follows essentially the same arguments, but provides a direct proof of the key lemma on which the completeness proof is based. This direct proof makes use of the theory of trivial monodromy potentials developed by Duistermaat and Grtinbaum and Oblomkov. (C) 2019 Published by Elsevier Inc.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-05-01
2020
2020-05-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/6203
url https://hdl.handle.net/20.500.14352/6203
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución-NoComercial-SinDerivadas 3.0 España
https://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución-NoComercial-SinDerivadas 3.0 España
https://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Academic Press Inc Elsevier Science
publisher.none.fl_str_mv Academic Press Inc Elsevier Science
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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