Iterative actions of normal operators

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• 作者：A. Aldroubi^a ; ^{aldroubi@math.vanderbilt.edu} ; C. Cabrelli^b ; ^c ; ^{cabrelli@dm.uba.ar} ; A.F. Ç ; akmak^d ; ^a ; ^{acakmak@yildiz.edu.tr} ; U. Molter^b ; ^c ; ^{umolter@dm.uba.ar} ; A. Petrosyan^a ; ^{armenak.petrosyan@vanderbilt.edu}
• 关键词：46N99 ; 42C15 ; 94O20
• 刊名：Journal of Functional Analysis
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：272
• 期：3
• 页码：1121-1146
• 全文大小：527 K
• 卷排序：272

文摘

Let A   be a normal operator in a Hilbert space HH, and let G⊂HG⊂H be a countable set of vectors. We investigate the relations between A  , GG and L   that make the system of iterations {Ang:g∈G,0≤n<L(g)} complete, Bessel, a basis, or a frame for HH. 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.