Time-frequency partitions and characterizations of modulation spaces with localization operators

被引：13
|
作者：
Doerfler, Monika [1 ]
Groechenig, Karlheinz [1 ]
机构：
[1] Univ Vienna, Inst Math, A-1090 Vienna, Austria
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2011年 / 260卷 / 07期
关键词：
Phase-space localization; Short-time Fourier transform; Modulation space; Localization operator; Gabor frame; INTEGRABLE GROUP-REPRESENTATIONS; ATOMIC DECOMPOSITIONS; GABOR FRAMES; DISTRIBUTIONS; CONVOLUTION; CALCULUS;
D O I：
10.1016/j.jfa.2010.12.021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study families of time-frequency localization operators and derive a new characterization of modulation spaces. This characterization relates the size of the localization operators to the global time-frequency distribution. As a by-product, we obtain a new proof for the existence of multi-window Gabor frames and extend the structure theory of Gabor frames. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：1903 / 1924
页数：22
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