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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2015
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v9597_n_p_Kutyniok http://hdl.handle.net/20.500.12110/paper_0277786X_v9597_n_p_Kutyniok |
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paper:paper_0277786X_v9597_n_p_Kutyniok2023-06-08T15:26:38Z Perturbations of fusion frames and the effect on their canonical dual 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. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v9597_n_p_Kutyniok 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 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. |
| 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 |
| publishDate |
2015 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v9597_n_p_Kutyniok http://hdl.handle.net/20.500.12110/paper_0277786X_v9597_n_p_Kutyniok |
| _version_ |
1768543844396171264 |