Dual fusion frames

The definition of dual fusion frame presents technical problems related to the domain of the synthesis operator. The notion commonly used is the analogue to the canonical dual frame. Here a new concept of dual is studied in infinite-dimensional separable Hilbert spaces. It extends the commonly used...

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Detalles Bibliográficos
Autores: Heineken, Sigrid Bettina, Morillas, Patricia Mariela, Benavente Fager, Ana María, Zakowicz, M. I.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/5806
Acceso en línea:http://hdl.handle.net/11336/5806
Access Level:acceso abierto
Palabra clave:Frames
Fusion Frames
Dual Fusion Frames
Gabor Systems
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
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spelling Dual fusion framesHeineken, Sigrid BettinaMorillas, Patricia MarielaBenavente Fager, Ana MaríaZakowicz, M. I.FramesFusion FramesDual Fusion FramesGabor Systemshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The definition of dual fusion frame presents technical problems related to the domain of the synthesis operator. The notion commonly used is the analogue to the canonical dual frame. Here a new concept of dual is studied in infinite-dimensional separable Hilbert spaces. It extends the commonly used notion and overcomes these technical difficulties. We show that with this definition in many cases dual fusion frames behave similar to dual frames. We present examples of non-canonical dual fusion frames.Fil: Heineken, Sigrid Bettina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; ArgentinaFil: Morillas, Patricia Mariela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Matemática Aplicada de San Luis; ArgentinaFil: Benavente Fager, Ana María. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Matemática Aplicada de San Luis; ArgentinaFil: Zakowicz, M. I.. Universidad Nacional de San Luis. Facultad de Ciencias Fisico Matematicas y Naturales. Departamento de Matematicas; ArgentinaSpringer2014-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/5806Heineken, Sigrid Bettina; Morillas, Patricia Mariela; Benavente Fager, Ana María; Zakowicz, M. I.; Dual fusion frames; Springer; Archiv Der Mathematik; 103; 4; 10-2014; 355-3650003-889Xenginfo:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs00013-014-0697-2info:eu-repo/semantics/altIdentifier/doi/10.1007/s00013-014-0697-2info:eu-repo/semantics/altIdentifier/doi/info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T13:59:50Zoai:ri.conicet.gov.ar:11336/5806instacron: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:34982024-05-08 13:59:50.388CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Dual fusion frames
title Dual fusion frames
spellingShingle Dual fusion frames
Heineken, Sigrid Bettina
Frames
Fusion Frames
Dual Fusion Frames
Gabor Systems
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
title_short Dual fusion frames
title_full Dual fusion frames
title_fullStr Dual fusion frames
title_full_unstemmed Dual fusion frames
title_sort Dual fusion frames
dc.creator.none.fl_str_mv Heineken, Sigrid Bettina
Morillas, Patricia Mariela
Benavente Fager, Ana María
Zakowicz, M. I.
author Heineken, Sigrid Bettina
author_facet Heineken, Sigrid Bettina
Morillas, Patricia Mariela
Benavente Fager, Ana María
Zakowicz, M. I.
author_role author
author2 Morillas, Patricia Mariela
Benavente Fager, Ana María
Zakowicz, M. I.
author2_role author
author
author
dc.subject.none.fl_str_mv Frames
Fusion Frames
Dual Fusion Frames
Gabor Systems
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
topic Frames
Fusion Frames
Dual Fusion Frames
Gabor Systems
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
description The definition of dual fusion frame presents technical problems related to the domain of the synthesis operator. The notion commonly used is the analogue to the canonical dual frame. Here a new concept of dual is studied in infinite-dimensional separable Hilbert spaces. It extends the commonly used notion and overcomes these technical difficulties. We show that with this definition in many cases dual fusion frames behave similar to dual frames. We present examples of non-canonical dual fusion frames.
publishDate 2014
dc.date.none.fl_str_mv 2014-10
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/11336/5806
Heineken, Sigrid Bettina; Morillas, Patricia Mariela; Benavente Fager, Ana María; Zakowicz, M. I.; Dual fusion frames; Springer; Archiv Der Mathematik; 103; 4; 10-2014; 355-365
0003-889X
url http://hdl.handle.net/11336/5806
identifier_str_mv Heineken, Sigrid Bettina; Morillas, Patricia Mariela; Benavente Fager, Ana María; Zakowicz, M. I.; Dual fusion frames; Springer; Archiv Der Mathematik; 103; 4; 10-2014; 355-365
0003-889X
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs00013-014-0697-2
info:eu-repo/semantics/altIdentifier/doi/10.1007/s00013-014-0697-2
info:eu-repo/semantics/altIdentifier/doi/
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 Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
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 15.812455

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