Uncertainty principles as embeddings of modulation spaces

被引：15
|
作者：
Galperin, YV
Gröchenig, K
机构：
[1] Univ Connecticut, Dept Math, Storrs, CT 06269 USA
[2] Sacred Heart Univ, Dept Math, Fairfield, CT USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 274卷 / 01期
关键词：
uncertainty principle; modulation space; short-time Fourier transform; Gabor expansion; embedding of function spaces;
D O I：
10.1016/S0022-247X(02)00279-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A class of new uncertainty principles is derived in the form of embeddings of Fourier-Lebesgue spaces into modulation spaces. These embeddings provide practical, sufficient conditions for a function to belong to a modulation space. Counterexamples based on the properties of Gabor expansions demonstrate that the embeddings are optimal. (C) 2002 Elsevier Science (USA). All rights reserved.
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页码：181 / 202
页数：22
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