Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere

Autores
Tirao, Juan Alfredo; Zurrián, Ignacio Nahuel
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper, we describe the irreducible spherical functions of fundamentalK-types associated with the pair (G, K) = (SO(n + 1), SO(n)) in terms of matrix hypergeometric functions. The output of this description is that the irreducible spherical functions of the same K-fundamental type are encoded in new examples of classical sequences of matrix-valued orthogonal polynomials, of size 2 and 3, with respect to a matrix-weight W supported on [0, 1]. Moreover, we show that W has a second order symmetric hypergeometric operator D.
Fil: Tirao, Juan Alfredo. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Zurrián, Ignacio Nahuel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. 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
Materia
Matrix-Valued Spherical Functions
Matrix Orthogonal Polynomials
The Matrix Hypergeometric Operator
N-Dimensional Sphere
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/32148
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/32148
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network_name_str CONICET Digital (CONICET)
spelling Spherical Functions of Fundamental K-Types Associated with the n-Dimensional SphereTirao, Juan AlfredoZurrián, Ignacio NahuelMatrix-Valued Spherical FunctionsMatrix Orthogonal PolynomialsThe Matrix Hypergeometric OperatorN-Dimensional Spherehttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper, we describe the irreducible spherical functions of fundamentalK-types associated with the pair (G, K) = (SO(n + 1), SO(n)) in terms of matrix hypergeometric functions. The output of this description is that the irreducible spherical functions of the same K-fundamental type are encoded in new examples of classical sequences of matrix-valued orthogonal polynomials, of size 2 and 3, with respect to a matrix-weight W supported on [0, 1]. Moreover, we show that W has a second order symmetric hypergeometric operator D.Fil: Tirao, Juan Alfredo. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaFil: Zurrián, Ignacio Nahuel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. 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; ArgentinaNatl Acad Sci Ukraine2014-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/32148Tirao, Juan Alfredo; Zurrián, Ignacio Nahuel; Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere; Natl Acad Sci Ukraine; Symmetry, Integrability And Geometry; 10; 071; 1-2014; 1-421815-0659CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.3842/SIGMA.2014.071info:eu-repo/semantics/altIdentifier/url/https://www.emis.de/journals/SIGMA/2014/071/info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:22:37Zoai:ri.conicet.gov.ar:11336/32148instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:22:37.664CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere
title Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere
spellingShingle Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere
Tirao, Juan Alfredo
Matrix-Valued Spherical Functions
Matrix Orthogonal Polynomials
The Matrix Hypergeometric Operator
N-Dimensional Sphere
title_short Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere
title_full Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere
title_fullStr Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere
title_full_unstemmed Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere
title_sort Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere
dc.creator.none.fl_str_mv Tirao, Juan Alfredo
Zurrián, Ignacio Nahuel
author Tirao, Juan Alfredo
author_facet Tirao, Juan Alfredo
Zurrián, Ignacio Nahuel
author_role author
author2 Zurrián, Ignacio Nahuel
author2_role author
dc.subject.none.fl_str_mv Matrix-Valued Spherical Functions
Matrix Orthogonal Polynomials
The Matrix Hypergeometric Operator
N-Dimensional Sphere
topic Matrix-Valued Spherical Functions
Matrix Orthogonal Polynomials
The Matrix Hypergeometric Operator
N-Dimensional Sphere
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this paper, we describe the irreducible spherical functions of fundamentalK-types associated with the pair (G, K) = (SO(n + 1), SO(n)) in terms of matrix hypergeometric functions. The output of this description is that the irreducible spherical functions of the same K-fundamental type are encoded in new examples of classical sequences of matrix-valued orthogonal polynomials, of size 2 and 3, with respect to a matrix-weight W supported on [0, 1]. Moreover, we show that W has a second order symmetric hypergeometric operator D.
Fil: Tirao, Juan Alfredo. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Zurrián, Ignacio Nahuel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. 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
description In this paper, we describe the irreducible spherical functions of fundamentalK-types associated with the pair (G, K) = (SO(n + 1), SO(n)) in terms of matrix hypergeometric functions. The output of this description is that the irreducible spherical functions of the same K-fundamental type are encoded in new examples of classical sequences of matrix-valued orthogonal polynomials, of size 2 and 3, with respect to a matrix-weight W supported on [0, 1]. Moreover, we show that W has a second order symmetric hypergeometric operator D.
publishDate 2014
dc.date.none.fl_str_mv 2014-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/32148
Tirao, Juan Alfredo; Zurrián, Ignacio Nahuel; Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere; Natl Acad Sci Ukraine; Symmetry, Integrability And Geometry; 10; 071; 1-2014; 1-42
1815-0659
CONICET Digital
CONICET
url http://hdl.handle.net/11336/32148
identifier_str_mv Tirao, Juan Alfredo; Zurrián, Ignacio Nahuel; Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere; Natl Acad Sci Ukraine; Symmetry, Integrability And Geometry; 10; 071; 1-2014; 1-42
1815-0659
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.3842/SIGMA.2014.071
info:eu-repo/semantics/altIdentifier/url/https://www.emis.de/journals/SIGMA/2014/071/
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Natl Acad Sci Ukraine
publisher.none.fl_str_mv Natl Acad Sci Ukraine
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.982451

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