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Hardy's Theorem and the Short-Time Fourier Transform of Schwartz Functions |
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| Authors: | Grochenig Karlheinz; Zimmermann Georg |
| Institution: | Department of Mathematics U-9, University of Connecticut Storrs, CT 06269-3009, USA, groch{at}math.uconn.edu Institut für Angewandte Mathematik und Statistik, Universität Hohenheim 70593 Stuttgart, Germany, gzim{at}uni-hohenheim.de |
| Abstract: | The Schwartz space of rapidly decaying test functions is characterizedby the decay of the short-time Fourier transform or cross-Wignerdistribution. Then a version of Hardy's theorem is proved forthe short-time Fourier transform and for the Wigner distribution. |
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