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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/55557
Ver los metadatos del registro completo
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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 Técnicas2025-09-29T10:28:58Zoai: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:34982025-09-29 10:28:58.74CONICET 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 |
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1844614294522560512 |
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13.070432 |