Spherical functions of fundamental K-types associated with the n-dimensional sphere

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In this paper, we describe the irreducible spherical functions of fundamental K-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 encode...

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Autores principales: Tirao, Juan Alfredo, Zurrián, Ignacio Nahuel
Formato: article
Lenguaje:Inglés
Publicado: 2021
Materias:
Matrix-valued spherical functions
Matrix orthogonal polynomials
The matrix hypergeometric operator
n-dimensional sphere
Acceso en línea:http://hdl.handle.net/11086/20304
https://doi.org/10.3842/SIGMA.2014.071
Aporte de:
Repositorio Digital Universitario (UNC) de Universidad Nacional de Córdoba
id I10-R14111086-20304
record_format dspace
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-141
collection Repositorio Digital Universitario (UNC)
language Inglés
topic Matrix-valued spherical functions
Matrix orthogonal polynomials
The matrix hypergeometric operator
n-dimensional sphere
spellingShingle Matrix-valued spherical functions
Matrix orthogonal polynomials
The matrix hypergeometric operator
n-dimensional sphere
Tirao, Juan Alfredo
Zurrián, Ignacio Nahuel
Spherical functions of fundamental K-types associated with the n-dimensional sphere
topic_facet Matrix-valued spherical functions
Matrix orthogonal polynomials
The matrix hypergeometric operator
n-dimensional sphere
description In this paper, we describe the irreducible spherical functions of fundamental K-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.
format article
author Tirao, Juan Alfredo
Zurrián, Ignacio Nahuel
author_facet Tirao, Juan Alfredo
Zurrián, Ignacio Nahuel
author_sort Tirao, Juan Alfredo
title Spherical functions of fundamental K-types associated with the 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
publishDate 2021
url http://hdl.handle.net/11086/20304
https://doi.org/10.3842/SIGMA.2014.071
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AT zurrianignacionahuel sphericalfunctionsoffundamentalktypesassociatedwiththendimensionalsphere
bdutipo_str Repositorios
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