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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Autores principales: Heineken, S.B., Morillas, P.M., Benavente, A.M., Zakowicz, M.I.
Formato: JOUR
Materias:
Dual fusion frames
Frames
Fusion frames
Gabor systems
Acceso en línea: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 todo:paper_0003889X_v103_n4_p355_Heineken
record_format dspace
spelling todo:paper_0003889X_v103_n4_p355_Heineken2023-10-03T13:56:40Z Dual fusion frames Heineken, S.B. Morillas, P.M. Benavente, A.M. Zakowicz, M.I. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, S.B.
Morillas, P.M.
Benavente, A.M.
Zakowicz, M.I.
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.
format JOUR
author Heineken, S.B.
Morillas, P.M.
Benavente, A.M.
Zakowicz, M.I.
author_facet Heineken, S.B.
Morillas, P.M.
Benavente, A.M.
Zakowicz, M.I.
author_sort Heineken, S.B.
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
url http://hdl.handle.net/20.500.12110/paper_0003889X_v103_n4_p355_Heineken
work_keys_str_mv AT heinekensb dualfusionframes
AT morillaspm dualfusionframes
AT benaventeam dualfusionframes
AT zakowiczmi dualfusionframes
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