Inversion formulas for the short-time Fourier transform

被引：0
作者：
Hans G. Feichtinger
Ferenc Weisz
机构：
[1] University of Vienna,Numerical Harmonic Analysis Group, Faculty of Mathematics
[2] Eötvös L. University,Department of Numerical Analysis
来源：
The Journal of Geometric Analysis | 2006年 / 16卷
关键词：
42B08; 42C15; 42C40; 42A38; 46B15; Wiener amalgam spaces; Herz spaces; -summability; short-time Fourier transform; time-frequency analysis;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The inversion formula for the short-time Fourier transform is usually considered in the weak sense, or only for specific combinations of window functions and function spaces such as L2. In the present article the so-called θ-summability (with a function parameter θ) is considered which induces norm convergence for a large class of function spaces. Under some conditions on θ we prove that the summation of the short-time Fourier transform of ƒ converges to ƒ in Wiener amalgam norms, hence also in the Lp sense for Lp functions, and pointwise almost everywhere.
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页码：507 / 521
页数：14
相关论文
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