Mixed-type multiple orthogonal Laurent polynomials on the unit circle

Mixed-type orthogonal Laurent polynomials on the unit circle of CMV type are constructed utilizing a matrix of moments and its Gauss–Borel factorization and employing a multiple extension of the CMV ordering. A systematic analysis of the associated multiple orthogonality and biorthogonality relation...

Descripción completa

Detalles Bibliográficos
Autores: Huertas, Edmundo J., Mañas Baena, Manuel Enrique
Tipo de recurso: artículo
Fecha de publicación:2026
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/133638
Acceso en línea:https://hdl.handle.net/20.500.14352/133638
Access Level:acceso abierto
Palabra clave:530.1
Mixed-type multiple orthogonal Laurent polynomials
Unit circle
Christoffel–Darboux formulas
ABC theorem
Recurrence relations
Christoffel perturbations
Geronimus perturbations
Física-Modelos matemáticos
2212 Física Teórica
id ES_309092e68c05bbbe8615ddbb086085dc
oai_identifier_str oai:docta.ucm.es:20.500.14352/133638
network_acronym_str ES
network_name_str España
repository_id_str
spelling Mixed-type multiple orthogonal Laurent polynomials on the unit circleHuertas, Edmundo J.Mañas Baena, Manuel Enrique530.1Mixed-type multiple orthogonal Laurent polynomialsUnit circleChristoffel–Darboux formulasABC theoremRecurrence relationsChristoffel perturbationsGeronimus perturbationsFísica-Modelos matemáticos2212 Física TeóricaMixed-type orthogonal Laurent polynomials on the unit circle of CMV type are constructed utilizing a matrix of moments and its Gauss–Borel factorization and employing a multiple extension of the CMV ordering. A systematic analysis of the associated multiple orthogonality and biorthogonality relations, and an examination of the degrees of the Laurent polynomials is given. Recurrence relations, expressed in terms of banded matrices, are found. These recurrence relations lay the groundwork for corresponding Christoffel–Darboux kernels and relations, as well as for elucidating the ABC theorem. The paper also develops the theory of diagonal Christoffel and Geronimus perturbations of the matrix of measures. Christoffel formulas are found for both perturbations.ElsevierUniversidad Complutense de Madrid20262026-03-0120262026-03-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/133638reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 TED2021-129813A-I00Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2021-122154NB-I00 ORTOGONALIDAD Y APROXIMACION CON APLICACIONES EN MACHINE LEARNING Y TEORIA DE LA PROBABILIDADAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2024-2027 PID2024-155133NB-I00 ORTOGONALIDAD, APROXIMACIÓN E INTEGRABILIDAD: APLICACIONES EN PROCESOS ESTOCÁSTICOS CLÁSICOS Y CUÁNTICOSopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/1336382026-06-02T12:44:21Z
dc.title.none.fl_str_mv Mixed-type multiple orthogonal Laurent polynomials on the unit circle
title Mixed-type multiple orthogonal Laurent polynomials on the unit circle
spellingShingle Mixed-type multiple orthogonal Laurent polynomials on the unit circle
Huertas, Edmundo J.
530.1
Mixed-type multiple orthogonal Laurent polynomials
Unit circle
Christoffel–Darboux formulas
ABC theorem
Recurrence relations
Christoffel perturbations
Geronimus perturbations
Física-Modelos matemáticos
2212 Física Teórica
title_short Mixed-type multiple orthogonal Laurent polynomials on the unit circle
title_full Mixed-type multiple orthogonal Laurent polynomials on the unit circle
title_fullStr Mixed-type multiple orthogonal Laurent polynomials on the unit circle
title_full_unstemmed Mixed-type multiple orthogonal Laurent polynomials on the unit circle
title_sort Mixed-type multiple orthogonal Laurent polynomials on the unit circle
dc.creator.none.fl_str_mv Huertas, Edmundo J.
Mañas Baena, Manuel Enrique
author Huertas, Edmundo J.
author_facet Huertas, Edmundo J.
Mañas Baena, Manuel Enrique
author_role author
author2 Mañas Baena, Manuel Enrique
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 530.1
Mixed-type multiple orthogonal Laurent polynomials
Unit circle
Christoffel–Darboux formulas
ABC theorem
Recurrence relations
Christoffel perturbations
Geronimus perturbations
Física-Modelos matemáticos
2212 Física Teórica
topic 530.1
Mixed-type multiple orthogonal Laurent polynomials
Unit circle
Christoffel–Darboux formulas
ABC theorem
Recurrence relations
Christoffel perturbations
Geronimus perturbations
Física-Modelos matemáticos
2212 Física Teórica
description Mixed-type orthogonal Laurent polynomials on the unit circle of CMV type are constructed utilizing a matrix of moments and its Gauss–Borel factorization and employing a multiple extension of the CMV ordering. A systematic analysis of the associated multiple orthogonality and biorthogonality relations, and an examination of the degrees of the Laurent polynomials is given. Recurrence relations, expressed in terms of banded matrices, are found. These recurrence relations lay the groundwork for corresponding Christoffel–Darboux kernels and relations, as well as for elucidating the ABC theorem. The paper also develops the theory of diagonal Christoffel and Geronimus perturbations of the matrix of measures. Christoffel formulas are found for both perturbations.
publishDate 2026
dc.date.none.fl_str_mv 2026
2026-03-01
2026
2026-03-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/133638
url https://hdl.handle.net/20.500.14352/133638
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 TED2021-129813A-I00
Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2021-122154NB-I00 ORTOGONALIDAD Y APROXIMACION CON APLICACIONES EN MACHINE LEARNING Y TEORIA DE LA PROBABILIDAD
Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2024-2027 PID2024-155133NB-I00 ORTOGONALIDAD, APROXIMACIÓN E INTEGRABILIDAD: APLICACIONES EN PROCESOS ESTOCÁSTICOS CLÁSICOS Y CUÁNTICOS
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
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
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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
_version_ 1869405553933942784
score 15.812429

Similares en LA Referencia