Inversion of the short-time fourier transform using Riemannian sums

作     者：Weisz, Ferenc 

作者机构：Eotvos Lorand Univ Dept Numer Anal H-1117 Budapest Hungary 

出 版 物：《JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS》 (傅立叶分析与应用杂志)

年 卷 期：2007年第13卷第3期

页      面：357-368页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：wiener amalgam spaces modulation spaces short-time fourier transform time-frequency analysis feichfinger's and wiener's algebra riemannian sums 

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 L-2 and modulation spaces. In the present note the Riemannian sums of the inverse short-time Fourier transform are investigated. Under some conditions oil the window functions we prove that the Riemannian sums converge to f in the modulation spaces and in Wiener amalgam norms, hence also in the L-p sense.