Time and band limiting for matrix valued functions : an integral and a commuting differential operator

Artículo finalmente publicado en: Grünbaum, F. A., Pacharoni, M. I. y Zurrián, I. N. (2017). Time and band limiting for matrix valued functions : an integral and a commuting differential operator. Inverse Problems, 33 (2), 025005. https://doi.org/10.1088/1361-6420/aa53b8

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Detalles Bibliográficos
Autores principales: Grünbaum, Francisco Alberto, Pacharoni, María Inés, Zurrián, Ignacio Nahuel
Otros Autores: https://orcid.org/0000-0001-9663-4283
Formato: acceptedVersion article
Lenguaje:Inglés
Publicado: 2024
Materias:
Time-band limiting
Double concentration
Matrix valued orthogonal polynomials
Acceso en línea:http://hdl.handle.net/11086/552618
Aporte de:
Repositorio Digital Universitario (UNC) de Universidad Nacional de Córdoba
id I10-R141-11086-552618
record_format dspace
spelling I10-R141-11086-5526182024-07-09T06:35:31Z Time and band limiting for matrix valued functions : an integral and a commuting differential operator Grünbaum, Francisco Alberto Pacharoni, María Inés Zurrián, Ignacio Nahuel https://orcid.org/0000-0001-9663-4283 https://orcid.org/0009-0004-8058-1227 https://orcid.org/0000-0001-9552-0073 Time-band limiting Double concentration Matrix valued orthogonal polynomials Artículo finalmente publicado en: Grünbaum, F. A., Pacharoni, M. I. y Zurrián, I. N. (2017). Time and band limiting for matrix valued functions : an integral and a commuting differential operator. Inverse Problems, 33 (2), 025005. https://doi.org/10.1088/1361-6420/aa53b8 info:eu-repo/semantics/acceptedVersion Fil: Grünbaum, Francisco Alberto. University of California, Berkeley. Department of Mathematics; United States of America. Fil: Pacharoni, María Inés. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Pacharoni, María Inés. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Pacharoni, María Inés. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Zurrián, Ignacio Nahuel. Pontificia Universidad Católica de Chile. Facultad de Matematicas; Chile. The problem of recovering a signal of finite duration from a piece of its Fourier transform was solved at Bell Labs in the 1960’s, by exploiting a “miracle”: a certain naturally appearing integral operator commutes with an explicit differential one. Here we show that this same miracle holds in a matrix valued version of the same problem. This research was supported in part by CONICET grant PIP 112-200801-01533, SeCyT-UNC, FONDECYT 3160646 and FA9550-16-1-0175. http://iopscience.iop.org/article/10.1088/1361-6420/aa53b8 info:eu-repo/semantics/acceptedVersion Fil: Grünbaum, Francisco Alberto. University of California, Berkeley. Department of Mathematics; United States of America. Fil: Pacharoni, María Inés. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Pacharoni, María Inés. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Pacharoni, María Inés. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Zurrián, Ignacio Nahuel. Pontificia Universidad Católica de Chile. Facultad de Matematicas; Chile. Matemática Pura 2024-07-08T15:11:50Z 2024-07-08T15:11:50Z 2017 article 0266-5611 http://hdl.handle.net/11086/552618 1361-6420 eng Atribución-NoComercial-SinDerivadas 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/deed.es Impreso
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 integral and a commuting differential operator
topic_facet Time-band limiting
Double concentration
Matrix valued orthogonal polynomials
description Artículo finalmente publicado en: Grünbaum, F. A., Pacharoni, M. I. y Zurrián, I. N. (2017). Time and band limiting for matrix valued functions : an integral and a commuting differential operator. Inverse Problems, 33 (2), 025005. https://doi.org/10.1088/1361-6420/aa53b8
author2 https://orcid.org/0000-0001-9663-4283
author_facet https://orcid.org/0000-0001-9663-4283
Grünbaum, Francisco Alberto
Pacharoni, María Inés
Zurrián, Ignacio Nahuel
format acceptedVersion
article
author Grünbaum, Francisco Alberto
Pacharoni, María Inés
Zurrián, Ignacio Nahuel
author_sort Grünbaum, Francisco Alberto
title Time and band limiting for matrix valued functions : an integral and a commuting differential operator
title_short Time and band limiting for matrix valued functions : an integral and a commuting differential operator
title_full Time and band limiting for matrix valued functions : an integral and a commuting differential operator
title_fullStr Time and band limiting for matrix valued functions : an integral and a commuting differential operator
title_full_unstemmed Time and band limiting for matrix valued functions : an integral and a commuting differential operator
title_sort time and band limiting for matrix valued functions : an integral and a commuting differential operator
publishDate 2024
url http://hdl.handle.net/11086/552618
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AT pacharonimariaines timeandbandlimitingformatrixvaluedfunctionsanintegralandacommutingdifferentialoperator
AT zurrianignacionahuel timeandbandlimitingformatrixvaluedfunctionsanintegralandacommutingdifferentialoperator
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