Iterative actions of normal operators
Let A be a normal operator in a Hilbert space H, and let G⊂H be a countable set of vectors. We investigate the relations between A, G and L that make the system of iterations {Ang:g∈G,0≤n<L(g)} complete, Bessel, a basis, or a frame for H. The problem is motivated by the dynamical sampling pro...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00221236_v272_n3_p1121_Aldroubi |
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todo:paper_00221236_v272_n3_p1121_Aldroubi2023-10-03T14:27:18Z Iterative actions of normal operators Aldroubi, A. Cabrelli, C. Çakmak, A.F. Molter, U. Petrosyan, A. Dynamics Frames Sampling Let A be a normal operator in a Hilbert space H, and let G⊂H be a countable set of vectors. We investigate the relations between A, G and L that make the system of iterations {Ang:g∈G,0≤n<L(g)} complete, Bessel, a basis, or a frame for H. The problem is motivated by the dynamical sampling problem and is connected to several topics in functional analysis, including, frame theory and spectral theory. It also has relations to topics in applied harmonic analysis including, wavelet theory and time-frequency analysis. © 2016 Elsevier Inc. Fil:Cabrelli, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Molter, U. 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_00221236_v272_n3_p1121_Aldroubi |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Dynamics Frames Sampling |
| spellingShingle |
Dynamics Frames Sampling Aldroubi, A. Cabrelli, C. Çakmak, A.F. Molter, U. Petrosyan, A. Iterative actions of normal operators |
| topic_facet |
Dynamics Frames Sampling |
| description |
Let A be a normal operator in a Hilbert space H, and let G⊂H be a countable set of vectors. We investigate the relations between A, G and L that make the system of iterations {Ang:g∈G,0≤n<L(g)} complete, Bessel, a basis, or a frame for H. The problem is motivated by the dynamical sampling problem and is connected to several topics in functional analysis, including, frame theory and spectral theory. It also has relations to topics in applied harmonic analysis including, wavelet theory and time-frequency analysis. © 2016 Elsevier Inc. |
| format |
JOUR |
| author |
Aldroubi, A. Cabrelli, C. Çakmak, A.F. Molter, U. Petrosyan, A. |
| author_facet |
Aldroubi, A. Cabrelli, C. Çakmak, A.F. Molter, U. Petrosyan, A. |
| author_sort |
Aldroubi, A. |
| title |
Iterative actions of normal operators |
| title_short |
Iterative actions of normal operators |
| title_full |
Iterative actions of normal operators |
| title_fullStr |
Iterative actions of normal operators |
| title_full_unstemmed |
Iterative actions of normal operators |
| title_sort |
iterative actions of normal operators |
| url |
http://hdl.handle.net/20.500.12110/paper_00221236_v272_n3_p1121_Aldroubi |
| work_keys_str_mv |
AT aldroubia iterativeactionsofnormaloperators AT cabrellic iterativeactionsofnormaloperators AT cakmakaf iterativeactionsofnormaloperators AT molteru iterativeactionsofnormaloperators AT petrosyana iterativeactionsofnormaloperators |
| _version_ |
1807315860977614848 |