Bispectrality and Time-Band-Limiting: Matrix valued polynomials

Autores
Grünbaum, Alberto; Pacharoni, Maria Ines; Zurrián, Ignacio Nahuel
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The subject of time-band-limiting, originating in signal processing, is dominated by the miracle that a naturallyappearing integral operator admits a commuting dierential one, allowing for a numerically ecient way to compute itseigenfunctions. Bispectrality is an eort to dig into the reasons behind this miracle and goes back to joint work with H.Duistermaat. This search has revealed unexpected connections with several parts of mathematics, including integrablesystems. Here we consider a matrix-valued version of bispectrality and give a general condition under which we candisplay a constructive and simple way to obtain the commuting dierential operator. Furthermore, we build an operatorthat commutes with both the time-limiting operator and the band-limiting operators.
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. 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
TIME-BAND LIMITING
DOUBLE CONCENTRATION
MATRIX VALUED ORTHOGONAL POLYNOMIALS
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:11336/89510
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Bispectrality and Time-Band-Limiting: Matrix valued polynomialsGrünbaum, AlbertoPacharoni, Maria InesZurrián, Ignacio NahuelTIME-BAND LIMITINGDOUBLE CONCENTRATIONMATRIX VALUED ORTHOGONAL POLYNOMIALShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The subject of time-band-limiting, originating in signal processing, is dominated by the miracle that a naturallyappearing integral operator admits a commuting dierential one, allowing for a numerically ecient way to compute itseigenfunctions. Bispectrality is an eort to dig into the reasons behind this miracle and goes back to joint work with H.Duistermaat. This search has revealed unexpected connections with several parts of mathematics, including integrablesystems. Here we consider a matrix-valued version of bispectrality and give a general condition under which we candisplay a constructive and simple way to obtain the commuting dierential operator. Furthermore, we build an operatorthat commutes with both the time-limiting operator and the band-limiting operators.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. 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; ArgentinaOxford University Press2018-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/89510Grünbaum, Alberto; Pacharoni, Maria Ines; Zurrián, Ignacio Nahuel; Bispectrality and Time-Band-Limiting: Matrix valued polynomials; Oxford University Press; International Mathematics Research Notices; 5-20181073-79281687-0247CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/imrn/advance-article/doi/10.1093/imrn/rny140/5040784info:eu-repo/semantics/altIdentifier/doi/10.1093/imrn/rny140info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:44:43Zoai:ri.conicet.gov.ar:11336/89510instacron: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 09:44:44.021CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Bispectrality and Time-Band-Limiting: Matrix valued polynomials
title Bispectrality and Time-Band-Limiting: Matrix valued polynomials
spellingShingle Bispectrality and Time-Band-Limiting: Matrix valued polynomials
Grünbaum, Alberto
TIME-BAND LIMITING
DOUBLE CONCENTRATION
MATRIX VALUED ORTHOGONAL POLYNOMIALS
title_short Bispectrality and Time-Band-Limiting: Matrix valued polynomials
title_full Bispectrality and Time-Band-Limiting: Matrix valued polynomials
title_fullStr Bispectrality and Time-Band-Limiting: Matrix valued polynomials
title_full_unstemmed Bispectrality and Time-Band-Limiting: Matrix valued polynomials
title_sort Bispectrality and Time-Band-Limiting: Matrix valued polynomials
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 TIME-BAND LIMITING
DOUBLE CONCENTRATION
MATRIX VALUED ORTHOGONAL POLYNOMIALS
topic TIME-BAND LIMITING
DOUBLE CONCENTRATION
MATRIX VALUED ORTHOGONAL POLYNOMIALS
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 subject of time-band-limiting, originating in signal processing, is dominated by the miracle that a naturallyappearing integral operator admits a commuting dierential one, allowing for a numerically ecient way to compute itseigenfunctions. Bispectrality is an eort to dig into the reasons behind this miracle and goes back to joint work with H.Duistermaat. This search has revealed unexpected connections with several parts of mathematics, including integrablesystems. Here we consider a matrix-valued version of bispectrality and give a general condition under which we candisplay a constructive and simple way to obtain the commuting dierential operator. Furthermore, we build an operatorthat commutes with both the time-limiting operator and the band-limiting operators.
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. 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 subject of time-band-limiting, originating in signal processing, is dominated by the miracle that a naturallyappearing integral operator admits a commuting dierential one, allowing for a numerically ecient way to compute itseigenfunctions. Bispectrality is an eort to dig into the reasons behind this miracle and goes back to joint work with H.Duistermaat. This search has revealed unexpected connections with several parts of mathematics, including integrablesystems. Here we consider a matrix-valued version of bispectrality and give a general condition under which we candisplay a constructive and simple way to obtain the commuting dierential operator. Furthermore, we build an operatorthat commutes with both the time-limiting operator and the band-limiting operators.
publishDate 2018
dc.date.none.fl_str_mv 2018-05
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/11336/89510
Grünbaum, Alberto; Pacharoni, Maria Ines; Zurrián, Ignacio Nahuel; Bispectrality and Time-Band-Limiting: Matrix valued polynomials; Oxford University Press; International Mathematics Research Notices; 5-2018
1073-7928
1687-0247
CONICET Digital
CONICET
url http://hdl.handle.net/11336/89510
identifier_str_mv Grünbaum, Alberto; Pacharoni, Maria Ines; Zurrián, Ignacio Nahuel; Bispectrality and Time-Band-Limiting: Matrix valued polynomials; Oxford University Press; International Mathematics Research Notices; 5-2018
1073-7928
1687-0247
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/imrn/advance-article/doi/10.1093/imrn/rny140/5040784
info:eu-repo/semantics/altIdentifier/doi/10.1093/imrn/rny140
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 Oxford University Press
publisher.none.fl_str_mv Oxford University Press
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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