Hardy's theorem and the short-time Fourier transform of Schwartz functions

被引：68

作者：

Gröchenig, K ^{[1
]}

Zimmermann, G

机构：

[1] Univ Connecticut, Dept Math U9, Storrs, CT 06269 USA

[2] Univ Hohenheim, Inst Angew Math & Stat, D-70593 Stuttgart, Germany

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2001年 / 63卷

关键词：

D O I：

10.1112/S0024610700001800

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Schwartz space of rapidly decaying test functions is characterized by the decay of the short-time Fourier transform or cross-Wigner distribution. Then a version of Hardy's theorem is proved for the short-time Fourier transform and for the Wigner distribution.

引用

页码：205 / 214

页数：10

共 21 条

[1] ON FOURIER-TRANSFORMS OF FUNCTIONS SUPPORTED ON SETS OF FINITE LEBESGUE MEASURE [J].