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: | , |
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2017
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| 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 |
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| Sumario: | 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. |
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