Hardy's Theorem and the Short-Time Fourier Transform of Schwartz Functions

2001100 citationsJournal Article

Authors

Karlheinz Gröchenig · University of Connecticut

Georg Zimmermann · University of Hohenheim

Abstract

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.

Topics & Keywords

Mathematical Analysis and Transform Methods

Publication Details

Published in: Journal of the London Mathematical Society

Volume 63, Issue 1, pp. 205-214

DOI: 10.1112/s0024610700001800

Field-Weighted Citation Impact: 4.76

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Hardy's Theorem and the Short-Time Fourier Transform of Schwartz Functions

Authors

Abstract

Topics & Keywords

Publication Details