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

Karlheinz Gröchenig, Georg Zimmermann

Publications: Contribution to journalArticlePeer Reviewed

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.
Original languageEnglish
Pages (from-to)205-214
Number of pages10
JournalJournal of the London Mathematical Society
Volume63
Issue number1
Publication statusPublished - 2001

Austrian Fields of Science 2012

  • 1010 Mathematics

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