Continuous and discrete dynamical sampling

Autores
Díaz Martín, Rocío Patricia; Medri, Ivan Vladimir; Molter, Ursula Maria
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we study the continuous dynamical sampling problem at infinite time in a complex Hilbert space H. We find necessary and sufficient conditions on a bounded linear operator A∈B(H) and a set of vectors G⊂H, in order to obtain that {etAg}g∈G,t∈[0,∞) is a semi-continuous frame for H. We study if it is possible to discretize the time variable t and still have a frame for H. We also relate the continuous iteration etA on a set G to the discrete iteration (A′)n on G′ for an adequate operator A′ and set G′⊂H.
Fil: Díaz Martín, Rocío Patricia. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
Fil: Medri, Ivan Vladimir. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Molter, Ursula Maria. No especifíca;
Materia
DYNAMICAL SAMPLING
CONTINUOUS FRAME
CONTROL THEORY
INTERPOLATING SEQUENCE
HARDY SPACE
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:11336/110541
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/110541
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Continuous and discrete dynamical samplingDíaz Martín, Rocío PatriciaMedri, Ivan VladimirMolter, Ursula MariaDYNAMICAL SAMPLINGCONTINUOUS FRAMECONTROL THEORYINTERPOLATING SEQUENCEHARDY SPACEhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we study the continuous dynamical sampling problem at infinite time in a complex Hilbert space H. We find necessary and sufficient conditions on a bounded linear operator A∈B(H) and a set of vectors G⊂H, in order to obtain that {etAg}g∈G,t∈[0,∞) is a semi-continuous frame for H. We study if it is possible to discretize the time variable t and still have a frame for H. We also relate the continuous iteration etA on a set G to the discrete iteration (A′)n on G′ for an adequate operator A′ and set G′⊂H.Fil: Díaz Martín, Rocío Patricia. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaFil: Medri, Ivan Vladimir. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Molter, Ursula Maria. No especifíca; Cornell University2020-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/110541Díaz Martín, Rocío Patricia; Medri, Ivan Vladimir; Molter, Ursula Maria; Continuous and discrete dynamical sampling; Cornell University; ArXiv.org; 6-2020; 1-192331-8422CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/2006.08046info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:25:46Zoai:ri.conicet.gov.ar:11336/110541instacron: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 10:25:46.267CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Continuous and discrete dynamical sampling
title Continuous and discrete dynamical sampling
spellingShingle Continuous and discrete dynamical sampling
Díaz Martín, Rocío Patricia
DYNAMICAL SAMPLING
CONTINUOUS FRAME
CONTROL THEORY
INTERPOLATING SEQUENCE
HARDY SPACE
title_short Continuous and discrete dynamical sampling
title_full Continuous and discrete dynamical sampling
title_fullStr Continuous and discrete dynamical sampling
title_full_unstemmed Continuous and discrete dynamical sampling
title_sort Continuous and discrete dynamical sampling
dc.creator.none.fl_str_mv Díaz Martín, Rocío Patricia
Medri, Ivan Vladimir
Molter, Ursula Maria
author Díaz Martín, Rocío Patricia
author_facet Díaz Martín, Rocío Patricia
Medri, Ivan Vladimir
Molter, Ursula Maria
author_role author
author2 Medri, Ivan Vladimir
Molter, Ursula Maria
author2_role author
author
dc.subject.none.fl_str_mv DYNAMICAL SAMPLING
CONTINUOUS FRAME
CONTROL THEORY
INTERPOLATING SEQUENCE
HARDY SPACE
topic DYNAMICAL SAMPLING
CONTINUOUS FRAME
CONTROL THEORY
INTERPOLATING SEQUENCE
HARDY SPACE
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this paper we study the continuous dynamical sampling problem at infinite time in a complex Hilbert space H. We find necessary and sufficient conditions on a bounded linear operator A∈B(H) and a set of vectors G⊂H, in order to obtain that {etAg}g∈G,t∈[0,∞) is a semi-continuous frame for H. We study if it is possible to discretize the time variable t and still have a frame for H. We also relate the continuous iteration etA on a set G to the discrete iteration (A′)n on G′ for an adequate operator A′ and set G′⊂H.
Fil: Díaz Martín, Rocío Patricia. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
Fil: Medri, Ivan Vladimir. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Molter, Ursula Maria. No especifíca;
description In this paper we study the continuous dynamical sampling problem at infinite time in a complex Hilbert space H. We find necessary and sufficient conditions on a bounded linear operator A∈B(H) and a set of vectors G⊂H, in order to obtain that {etAg}g∈G,t∈[0,∞) is a semi-continuous frame for H. We study if it is possible to discretize the time variable t and still have a frame for H. We also relate the continuous iteration etA on a set G to the discrete iteration (A′)n on G′ for an adequate operator A′ and set G′⊂H.
publishDate 2020
dc.date.none.fl_str_mv 2020-06
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/11336/110541
Díaz Martín, Rocío Patricia; Medri, Ivan Vladimir; Molter, Ursula Maria; Continuous and discrete dynamical sampling; Cornell University; ArXiv.org; 6-2020; 1-19
2331-8422
CONICET Digital
CONICET
url http://hdl.handle.net/11336/110541
identifier_str_mv Díaz Martín, Rocío Patricia; Medri, Ivan Vladimir; Molter, Ursula Maria; Continuous and discrete dynamical sampling; Cornell University; ArXiv.org; 6-2020; 1-19
2331-8422
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/2006.08046
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 Cornell University
publisher.none.fl_str_mv Cornell University
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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