Time and band limiting for matrix valued functions, an example
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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Formato: | article |
Lenguaje: | Inglés |
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2022
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Acceso en línea: | http://hdl.handle.net/11086/22154 https://doi.org/10.3842/SIGMA.2015.044 |
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I10-R14111086-22154 |
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Universidad Nacional de Córdoba |
institution_str |
I-10 |
repository_str |
R-141 |
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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 |
work_keys_str_mv |
AT grunbaumfranciscoalberto timeandbandlimitingformatrixvaluedfunctionsanexample AT pacharonimariaines timeandbandlimitingformatrixvaluedfunctionsanexample AT zurrianignacionahuel timeandbandlimitingformatrixvaluedfunctionsanexample |
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Repositorios |
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1764820395307827202 |