Multiplier Theorems for the Short-Time Fourier Transform

被引:0
|
作者
Ferenc Weisz
机构
[1] Eötvös L. University,Department of Numerical Analysis
来源
Integral Equations and Operator Theory | 2008年 / 60卷
关键词
Primary 42C15; Secondary 42C40, 42A38, 46B15; Wiener amalgam spaces; modulation spaces; short-time Fourier transform; time-frequency analysis; Hardy-Littlewood inequality; multipliers;
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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 Lp-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:16
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