Time and band limiting for matrix valued functions, an example

Autores
Grünbaum, F. Alberto; Pacharoni, Maria Ines; Zurrián, Ignacio Nahuel
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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 f irst 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.
Fil: Grünbaum, F. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Zurrián, Ignacio Nahuel. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; 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:11336/51827
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Time and band limiting for matrix valued functions, an exampleGrünbaum, F. AlbertoPacharoni, Maria InesZurrián, Ignacio NahuelDOUBLE CONCENTRATIONMATRIX VALUED ORTHOGONAL POLYNOMIALSTIME-BAND LIMITINGhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The 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 f irst 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.Fil: Grünbaum, F. 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; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaFil: Zurrián, Ignacio Nahuel. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaNatl Acad Sci Ukraine2015-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/51827Grünbaum, F. Alberto; Pacharoni, Maria Ines; Zurrián, Ignacio Nahuel; Time and band limiting for matrix valued functions, an example; Natl Acad Sci Ukraine; Symmetry, Integrability And Geometry; 11; 6-2015; 1-141815-0659CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.3842/SIGMA.2015.044info:eu-repo/semantics/altIdentifier/url/https://www.emis.de/journals/SIGMA/2015/044/info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:50:46Zoai:ri.conicet.gov.ar:11336/51827instacron: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:34982025-09-29 09:50:46.772CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Time and band limiting for matrix valued functions, an example
title Time and band limiting for matrix valued functions, an example
spellingShingle Time and band limiting for matrix valued functions, an example
Grünbaum, F. Alberto
DOUBLE CONCENTRATION
MATRIX VALUED ORTHOGONAL POLYNOMIALS
TIME-BAND LIMITING
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
dc.creator.none.fl_str_mv Grünbaum, F. Alberto
Pacharoni, Maria Ines
Zurrián, Ignacio Nahuel
author Grünbaum, F. Alberto
author_facet Grünbaum, F. 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 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 f irst 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.
Fil: Grünbaum, F. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Zurrián, Ignacio Nahuel. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
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 f irst 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.
publishDate 2015
dc.date.none.fl_str_mv 2015-06
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/11336/51827
Grünbaum, F. Alberto; Pacharoni, Maria Ines; Zurrián, Ignacio Nahuel; Time and band limiting for matrix valued functions, an example; Natl Acad Sci Ukraine; Symmetry, Integrability And Geometry; 11; 6-2015; 1-14
1815-0659
CONICET Digital
CONICET
url http://hdl.handle.net/11336/51827
identifier_str_mv Grünbaum, F. Alberto; Pacharoni, Maria Ines; Zurrián, Ignacio Nahuel; Time and band limiting for matrix valued functions, an example; Natl Acad Sci Ukraine; Symmetry, Integrability And Geometry; 11; 6-2015; 1-14
1815-0659
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.3842/SIGMA.2015.044
info:eu-repo/semantics/altIdentifier/url/https://www.emis.de/journals/SIGMA/2015/044/
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
dc.publisher.none.fl_str_mv Natl Acad Sci Ukraine
publisher.none.fl_str_mv Natl Acad Sci Ukraine
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 13.070432

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