Perturbations of fusion frames and the effect on their canonical dual

Measurements in real world applications are often corrupted by noise due to exterior influences. It is therefore convenient to investigate perturbations of the utilized measurement systems. In the present paper, we consider small perturbations of fusion frames in Hilbert spaces and study the effect...

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Autores principales: Kutyniok, G., Paternostro, V., Philipp, F., Goyal V.K., Van De Ville D., Van De Ville, Papadakis M.
Formato: CONF
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0277786X_v9597_n_p_Kutyniok
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spelling todo:paper_0277786X_v9597_n_p_Kutyniok2023-10-03T15:16:48Z Perturbations of fusion frames and the effect on their canonical dual Kutyniok, G. Paternostro, V. Philipp, F. Goyal V.K. Van De Ville D. Van De Ville Papadakis M. Van De Ville D. Papadakis M. Goyal V.K. Van De Ville Canonical dual Fusion frame Perturbation Canonical dual Fusion frames Measurement system Perturbation Real-world Small perturbations Optical engineering Measurements in real world applications are often corrupted by noise due to exterior influences. It is therefore convenient to investigate perturbations of the utilized measurement systems. In the present paper, we consider small perturbations of fusion frames in Hilbert spaces and study the effect on the canonical duals of original and perturbed fusion frame. It turns out that the duals are stable under these perturbations. © 2015 SPIE. CONF info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0277786X_v9597_n_p_Kutyniok
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Canonical dual
Fusion frame
Perturbation
Canonical dual
Fusion frames
Measurement system
Perturbation
Real-world
Small perturbations
Optical engineering
spellingShingle Canonical dual
Fusion frame
Perturbation
Canonical dual
Fusion frames
Measurement system
Perturbation
Real-world
Small perturbations
Optical engineering
Kutyniok, G.
Paternostro, V.
Philipp, F.
Goyal V.K.
Van De Ville D.
Van De Ville
Papadakis M.
Van De Ville D.
Papadakis M.
Goyal V.K.
Van De Ville
Perturbations of fusion frames and the effect on their canonical dual
topic_facet Canonical dual
Fusion frame
Perturbation
Canonical dual
Fusion frames
Measurement system
Perturbation
Real-world
Small perturbations
Optical engineering
description Measurements in real world applications are often corrupted by noise due to exterior influences. It is therefore convenient to investigate perturbations of the utilized measurement systems. In the present paper, we consider small perturbations of fusion frames in Hilbert spaces and study the effect on the canonical duals of original and perturbed fusion frame. It turns out that the duals are stable under these perturbations. © 2015 SPIE.
format CONF
author Kutyniok, G.
Paternostro, V.
Philipp, F.
Goyal V.K.
Van De Ville D.
Van De Ville
Papadakis M.
Van De Ville D.
Papadakis M.
Goyal V.K.
Van De Ville
author_facet Kutyniok, G.
Paternostro, V.
Philipp, F.
Goyal V.K.
Van De Ville D.
Van De Ville
Papadakis M.
Van De Ville D.
Papadakis M.
Goyal V.K.
Van De Ville
author_sort Kutyniok, G.
title Perturbations of fusion frames and the effect on their canonical dual
title_short Perturbations of fusion frames and the effect on their canonical dual
title_full Perturbations of fusion frames and the effect on their canonical dual
title_fullStr Perturbations of fusion frames and the effect on their canonical dual
title_full_unstemmed Perturbations of fusion frames and the effect on their canonical dual
title_sort perturbations of fusion frames and the effect on their canonical dual
url http://hdl.handle.net/20.500.12110/paper_0277786X_v9597_n_p_Kutyniok
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AT paternostrov perturbationsoffusionframesandtheeffectontheircanonicaldual
AT philippf perturbationsoffusionframesandtheeffectontheircanonicaldual
AT goyalvk perturbationsoffusionframesandtheeffectontheircanonicaldual
AT vandevilled perturbationsoffusionframesandtheeffectontheircanonicaldual
AT vandeville perturbationsoffusionframesandtheeffectontheircanonicaldual
AT papadakism perturbationsoffusionframesandtheeffectontheircanonicaldual
AT vandevilled perturbationsoffusionframesandtheeffectontheircanonicaldual
AT papadakism perturbationsoffusionframesandtheeffectontheircanonicaldual
AT goyalvk perturbationsoffusionframesandtheeffectontheircanonicaldual
AT vandeville perturbationsoffusionframesandtheeffectontheircanonicaldual
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