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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Autores principales: Cabrelli, Carlos Alberto, Molter, Ursula Maria
Publicado: 2017
Materias:
Dynamics
Frames
Sampling
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221236_v272_n3_p1121_Aldroubi
http://hdl.handle.net/20.500.12110/paper_00221236_v272_n3_p1121_Aldroubi
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00221236_v272_n3_p1121_Aldroubi
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spelling paper:paper_00221236_v272_n3_p1121_Aldroubi2023-06-08T14:46:28Z Iterative actions of normal operators Cabrelli, Carlos Alberto Molter, Ursula Maria 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. 2017 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221236_v272_n3_p1121_Aldroubi 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
Cabrelli, Carlos Alberto
Molter, Ursula Maria
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.
author Cabrelli, Carlos Alberto
Molter, Ursula Maria
author_facet Cabrelli, Carlos Alberto
Molter, Ursula Maria
author_sort Cabrelli, Carlos Alberto
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
publishDate 2017
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221236_v272_n3_p1121_Aldroubi
http://hdl.handle.net/20.500.12110/paper_00221236_v272_n3_p1121_Aldroubi
work_keys_str_mv AT cabrellicarlosalberto iterativeactionsofnormaloperators
AT molterursulamaria iterativeactionsofnormaloperators
_version_ 1768545680445407232

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