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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/64492
Ver los metadatos del registro completo
id |
CONICETDig_63949a5edbb001667b0a2ad9f0183f86 |
---|---|
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 Técnicas2025-09-29T10:15:36Zoai: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:34982025-09-29 10:15:36.514CONICET 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 |
_version_ |
1844614093203308544 |
score |
13.070432 |