Iterative actions of normal operators

被引：55

作者：

Aldroubi, A. ^{[1
]}

Cabrelli, C. ^{[2
,3
]}

Cakmak, A. F. ^{[1
,4
]}

Molter, U. ^{[2
,3
]}

Petrosyan, A. ^{[1
]}

机构：

[1] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

[2] Univ Buenos Aires, Dept Matemat, Fac Ciencias Exactas & Nat, Ciudad Univ, RA-1428 Buenos Aires, DF, Argentina

[3] UBA CONICET, IMAS, Buenos Aires, DF, Argentina

[4] Yildiz Tech Univ, Dept Engn Math, Davutpasa Campus, TR-80750 Istanbul, Turkey

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2017年 / 272卷 / 03期

基金：

美国国家科学基金会;

关键词：

Frames; Sampling; Dynamics; KADISON-SINGER PROBLEM; GABOR FRAMES; RECONSTRUCTION; MULTIPLICITY; SUBSPACES; SYSTEMS; SIGNALS;

D O I：

10.1016/j.jfa.2016.10.027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a normal operator in a Hilbert space H, and let G subset of H be a countable set of vectors. We investigate the relations between A, G and L that make the system of iterations {A(n)g : g is an element of 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. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：1121 / 1146

页数：26

共 41 条

[1] SPECTRAL MULTIPLICITY OF A MULTIPLICATION OPERATOR [J].