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
Autor principal: Heineken, Sigrid Bettina
Publicado: 2014
Materias:
Dual fusion frames
Frames
Fusion frames
Gabor systems
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0003889X_v103_n4_p355_Heineken
http://hdl.handle.net/20.500.12110/paper_0003889X_v103_n4_p355_Heineken
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_0003889X_v103_n4_p355_Heineken
record_format dspace
spelling paper:paper_0003889X_v103_n4_p355_Heineken2023-06-08T14:24:46Z Dual fusion frames Heineken, Sigrid Bettina Dual fusion frames Frames Fusion frames Gabor systems 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. © 2014, Springer Basel. Fil:Heineken, S.B. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2014 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0003889X_v103_n4_p355_Heineken http://hdl.handle.net/20.500.12110/paper_0003889X_v103_n4_p355_Heineken
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Dual fusion frames
Frames
Fusion frames
Gabor systems
spellingShingle Dual fusion frames
Frames
Fusion frames
Gabor systems
Heineken, Sigrid Bettina
Dual fusion frames
topic_facet Dual fusion frames
Frames
Fusion frames
Gabor systems
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. © 2014, Springer Basel.
author Heineken, Sigrid Bettina
author_facet Heineken, Sigrid Bettina
author_sort Heineken, Sigrid Bettina
title Dual fusion frames
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
publishDate 2014
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0003889X_v103_n4_p355_Heineken
http://hdl.handle.net/20.500.12110/paper_0003889X_v103_n4_p355_Heineken
work_keys_str_mv AT heinekensigridbettina dualfusionframes
_version_ 1768541824201261056

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