Time-frequency analysis on modulation spaces Mmp,q, 0 < p,q ≤ ∞

被引：64
|
作者：
Galperin, YV [1 ]
Samarah, S
机构：
[1] E Stroudsburg Univ Penn, Dept Math, E Stroudsburg, PA USA
[2] Jordan Univ Sci & Technol, Dept Math & Stat, Irbid, Jordan
来源：
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2004年 / 16卷 / 01期
关键词：
modulation space; short-time Fourier transform; Gabor expansion; function spaces;
D O I：
10.1016/j.acha.2003.09.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The theory of modulation spaces M-m(p.q) is extended to the general case 0 < p, q less than or equal to infinity. It is shown that these spaces admit an atomic decomposition and are characterized by decay and summability properties of Gabor coefficients. A large space of admissible windows is constructed which contains the Schwartz class in the case of weights of polynomial growth and has the form of a union of modulation spaces. It is shown that different windows in this space yield equivalent modulation space quasi-norms. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：1 / 18
页数：18
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