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
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- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/32148
Ver los metadatos del registro completo
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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. |
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2014 |
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2014-01 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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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 |
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http://hdl.handle.net/11336/32148 |
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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 |
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eng |
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