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

Autores
Grünbaum, Alberto; Pacharoni, Maria Ines; Zurrián, Ignacio Nahuel
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
Fil: Grünbaum, Alberto. University of California at Berkeley; Estados Unidos
Fil: Pacharoni, Maria Ines. 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
Fil: Zurrián, Ignacio Nahuel. Pontificia Universidad Católica de Chile; Chile. 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
DOUBLE CONCENTRATION
MATRIX VALUED ORTHOGONAL POLYNOMIALS
TIME-BAND LIMITING
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/64492
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/64492
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Time and band limiting for matrix valued functions: An integral and a commuting differential operatorGrünbaum, AlbertoPacharoni, Maria InesZurrián, Ignacio NahuelDOUBLE CONCENTRATIONMATRIX VALUED ORTHOGONAL POLYNOMIALSTIME-BAND LIMITINGhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The 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.Fil: Grünbaum, Alberto. University of California at Berkeley; Estados UnidosFil: Pacharoni, Maria Ines. 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; ArgentinaFil: Zurrián, Ignacio Nahuel. Pontificia Universidad Católica de Chile; Chile. 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; ArgentinaIOP Publishing2017-01-09info: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/11336/64492Grünbaum, Alberto; Pacharoni, Maria Ines; Zurrián, Ignacio Nahuel; Time and band limiting for matrix valued functions: An integral and a commuting differential operator; IOP Publishing; Inverse Problems; 33; 2; 9-1-2017; 1-140266-56111361-6420CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1088/1361-6420/aa53b8info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/1361-6420/aa53b8/pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-26T08:58:11Zoai:ri.conicet.gov.ar:11336/64492instacron: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:34982025-11-26 08:58:11.694CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Time and band limiting for matrix valued functions: An integral and a commuting differential operator
title Time and band limiting for matrix valued functions: An integral and a commuting differential operator
spellingShingle Time and band limiting for matrix valued functions: An integral and a commuting differential operator
Grünbaum, Alberto
DOUBLE CONCENTRATION
MATRIX VALUED ORTHOGONAL POLYNOMIALS
TIME-BAND LIMITING
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
dc.creator.none.fl_str_mv Grünbaum, Alberto
Pacharoni, Maria Ines
Zurrián, Ignacio Nahuel
author Grünbaum, Alberto
author_facet Grünbaum, Alberto
Pacharoni, Maria Ines
Zurrián, Ignacio Nahuel
author_role author
author2 Pacharoni, Maria Ines
Zurrián, Ignacio Nahuel
author2_role author
author
dc.subject.none.fl_str_mv DOUBLE CONCENTRATION
MATRIX VALUED ORTHOGONAL POLYNOMIALS
TIME-BAND LIMITING
topic DOUBLE CONCENTRATION
MATRIX VALUED ORTHOGONAL POLYNOMIALS
TIME-BAND LIMITING
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv 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.
Fil: Grünbaum, Alberto. University of California at Berkeley; Estados Unidos
Fil: Pacharoni, Maria Ines. 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
Fil: Zurrián, Ignacio Nahuel. Pontificia Universidad Católica de Chile; Chile. 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 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.
publishDate 2017
dc.date.none.fl_str_mv 2017-01-09
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/64492
Grünbaum, Alberto; Pacharoni, Maria Ines; Zurrián, Ignacio Nahuel; Time and band limiting for matrix valued functions: An integral and a commuting differential operator; IOP Publishing; Inverse Problems; 33; 2; 9-1-2017; 1-14
0266-5611
1361-6420
CONICET Digital
CONICET
url http://hdl.handle.net/11336/64492
identifier_str_mv Grünbaum, Alberto; Pacharoni, Maria Ines; Zurrián, Ignacio Nahuel; Time and band limiting for matrix valued functions: An integral and a commuting differential operator; IOP Publishing; Inverse Problems; 33; 2; 9-1-2017; 1-14
0266-5611
1361-6420
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1088/1361-6420/aa53b8
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/1361-6420/aa53b8/pdf
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.011256

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