Time and band limiting for matrix valued functions, an example

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The main purpose of this paper is to extend to a situation involving matrix valued orthogonal polynomials and spherical functions, a result that traces its origin and its importance to work of Claude Shannon in laying the mathematical foundations of information theory and to a remarkable series of p...

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Autores principales: Grünbaum, Francisco Alberto, Pacharoni, María Inés, Zurrián, Ignacio Nahuel
Formato: article
Lenguaje:Inglés
Publicado: 2022
Materias:
Time-band limiting
Double concentration
Matrix valued orthogonal polynomials
Acceso en línea:http://hdl.handle.net/11086/22154
https://doi.org/10.3842/SIGMA.2015.044
Aporte de:
Repositorio Digital Universitario (UNC) de Universidad Nacional de Córdoba
id I10-R141-11086-22154
record_format dspace
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-141
collection Repositorio Digital Universitario (UNC)
language Inglés
topic Time-band limiting
Double concentration
Matrix valued orthogonal polynomials
spellingShingle Time-band limiting
Double concentration
Matrix valued orthogonal polynomials
Grünbaum, Francisco Alberto
Pacharoni, María Inés
Zurrián, Ignacio Nahuel
Time and band limiting for matrix valued functions, an example
topic_facet Time-band limiting
Double concentration
Matrix valued orthogonal polynomials
description The main purpose of this paper is to extend to a situation involving matrix valued orthogonal polynomials and spherical functions, a result that traces its origin and its importance to work of Claude Shannon in laying the mathematical foundations of information theory and to a remarkable series of papers by D. Slepian, H. Landau and H. Pollak. To our knowledge, this is the first example showing in a non-commutative setup that a bispectral property implies that the corresponding global operator of “time and band limiting” admits a commuting local operator. This is a noncommutative analog of the famous prolate spheroidal wave operator.
format article
author Grünbaum, Francisco Alberto
Pacharoni, María Inés
Zurrián, Ignacio Nahuel
author_facet Grünbaum, Francisco Alberto
Pacharoni, María Inés
Zurrián, Ignacio Nahuel
author_sort Grünbaum, Francisco Alberto
title Time and band limiting for matrix valued functions, an example
title_short Time and band limiting for matrix valued functions, an example
title_full Time and band limiting for matrix valued functions, an example
title_fullStr Time and band limiting for matrix valued functions, an example
title_full_unstemmed Time and band limiting for matrix valued functions, an example
title_sort time and band limiting for matrix valued functions, an example
publishDate 2022
url http://hdl.handle.net/11086/22154
https://doi.org/10.3842/SIGMA.2015.044
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