Iterative actions of normal operators

Autores
Aldroubi, A.; Cabrelli, Carlos; Çakmak, A. F.; Molter, Ursula Maria; Petrosyan, A.
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let A be a normal operator in a Hilbert space H, and let G⊂H be a countable set of vectors. We investigate the relations between A, G and L that make the system of iterations {Ang:g∈G,0≤n < L ( g ) } complete, Bessel, a basis, or a frame for H . The problem is motivated by the dynamical sampling problem and is connected to several topics in functional analysis, including, frame theory and spectral theory. It also has relations to topics in applied harmonic analysis including, wavelet theory and time-frequency analysis.
Fil: Aldroubi, A.. Vanderbilt University; Estados Unidos
Fil: Cabrelli, Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
Fil: Çakmak, A. F.. Vanderbilt University; Estados Unidos
Fil: Molter, Ursula Maria. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
Fil: Petrosyan, A.. Vanderbilt University; Estados Unidos
Materia
DYNAMICS
FRAMES
SAMPLING
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:11336/55557
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Iterative actions of normal operatorsAldroubi, A.Cabrelli, CarlosÇakmak, A. F.Molter, Ursula MariaPetrosyan, A.DYNAMICSFRAMESSAMPLINGhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let A be a normal operator in a Hilbert space H, and let G⊂H be a countable set of vectors. We investigate the relations between A, G and L that make the system of iterations {Ang:g∈G,0≤n < L ( g ) } complete, Bessel, a basis, or a frame for H . The problem is motivated by the dynamical sampling problem and is connected to several topics in functional analysis, including, frame theory and spectral theory. It also has relations to topics in applied harmonic analysis including, wavelet theory and time-frequency analysis.Fil: Aldroubi, A.. Vanderbilt University; Estados UnidosFil: Cabrelli, Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; ArgentinaFil: Çakmak, A. F.. Vanderbilt University; Estados UnidosFil: Molter, Ursula Maria. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; ArgentinaFil: Petrosyan, A.. Vanderbilt University; Estados UnidosAcademic Press Inc Elsevier Science2017-02info: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/11336/55557Aldroubi, A.; Cabrelli, Carlos; Çakmak, A. F.; Molter, Ursula Maria; Petrosyan, A.; Iterative actions of normal operators; Academic Press Inc Elsevier Science; Journal Of Functional Analysis; 272; 3; 2-2017; 1121-11460022-1236CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022123616303536info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1602.04527info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jfa.2016.10.027info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:01:19Zoai:ri.conicet.gov.ar:11336/55557instacron: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:34982025-10-22 12:01:19.953CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Iterative actions of normal operators
title Iterative actions of normal operators
spellingShingle Iterative actions of normal operators
Aldroubi, A.
DYNAMICS
FRAMES
SAMPLING
title_short Iterative actions of normal operators
title_full Iterative actions of normal operators
title_fullStr Iterative actions of normal operators
title_full_unstemmed Iterative actions of normal operators
title_sort Iterative actions of normal operators
dc.creator.none.fl_str_mv Aldroubi, A.
Cabrelli, Carlos
Çakmak, A. F.
Molter, Ursula Maria
Petrosyan, A.
author Aldroubi, A.
author_facet Aldroubi, A.
Cabrelli, Carlos
Çakmak, A. F.
Molter, Ursula Maria
Petrosyan, A.
author_role author
author2 Cabrelli, Carlos
Çakmak, A. F.
Molter, Ursula Maria
Petrosyan, A.
author2_role author
author
author
author
dc.subject.none.fl_str_mv DYNAMICS
FRAMES
SAMPLING
topic DYNAMICS
FRAMES
SAMPLING
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Let A be a normal operator in a Hilbert space H, and let G⊂H be a countable set of vectors. We investigate the relations between A, G and L that make the system of iterations {Ang:g∈G,0≤n < L ( g ) } complete, Bessel, a basis, or a frame for H . The problem is motivated by the dynamical sampling problem and is connected to several topics in functional analysis, including, frame theory and spectral theory. It also has relations to topics in applied harmonic analysis including, wavelet theory and time-frequency analysis.
Fil: Aldroubi, A.. Vanderbilt University; Estados Unidos
Fil: Cabrelli, Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
Fil: Çakmak, A. F.. Vanderbilt University; Estados Unidos
Fil: Molter, Ursula Maria. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
Fil: Petrosyan, A.. Vanderbilt University; Estados Unidos
description Let A be a normal operator in a Hilbert space H, and let G⊂H be a countable set of vectors. We investigate the relations between A, G and L that make the system of iterations {Ang:g∈G,0≤n < L ( g ) } complete, Bessel, a basis, or a frame for H . The problem is motivated by the dynamical sampling problem and is connected to several topics in functional analysis, including, frame theory and spectral theory. It also has relations to topics in applied harmonic analysis including, wavelet theory and time-frequency analysis.
publishDate 2017
dc.date.none.fl_str_mv 2017-02
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/11336/55557
Aldroubi, A.; Cabrelli, Carlos; Çakmak, A. F.; Molter, Ursula Maria; Petrosyan, A.; Iterative actions of normal operators; Academic Press Inc Elsevier Science; Journal Of Functional Analysis; 272; 3; 2-2017; 1121-1146
0022-1236
CONICET Digital
CONICET
url http://hdl.handle.net/11336/55557
identifier_str_mv Aldroubi, A.; Cabrelli, Carlos; Çakmak, A. F.; Molter, Ursula Maria; Petrosyan, A.; Iterative actions of normal operators; Academic Press Inc Elsevier Science; Journal Of Functional Analysis; 272; 3; 2-2017; 1121-1146
0022-1236
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://www.sciencedirect.com/science/article/pii/S0022123616303536
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1602.04527
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jfa.2016.10.027
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 Academic Press Inc Elsevier Science
publisher.none.fl_str_mv Academic Press Inc Elsevier Science
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_ 1846782344743092224
score 12.982451

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