Multiplier theorems for the short-time Fourier transform

被引：6
|
作者：
Weisz, Ferenc [1 ]
机构：
[1] Eotvos Lorand Univ, Dept Numer Anal, H-1117 Budapest, Hungary
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2008年 / 60卷 / 01期
基金：
匈牙利科学研究基金会;
关键词：
Wiener amalgam spaces; modulation spaces; short-time Fourier transform; time-frequency analysis; Hardy-Littlewood inequality; multipliers;
D O I：
10.1007/s00020-007-1546-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
So-called short-time Fourier transform multipliers (also called Anti-Wick operators in the literature) arise by applying a pointwise multiplication operator to the STFT before applying the inverse STFT. Boundedness results are investigated for such operators on modulation spaces and on L-p-spaces. Because the proofs apply naturally to Wiener amalgam spaces the results are formulated in this context. Furthermore, a version of the Hardy-Littlewood inequality for the STFT is derived.
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页码：133 / 149
页数：17
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