Spaces of Test Functions via the STFT

2004148 citationsJournal Articlegold Open Access

Authors

Karlheinz Gröchenig · University of Connecticut

Georg Zimmermann · University of Hohenheim

Abstract

We characterize several classes of test functions, among them Björck′s ultra‐rapidly decaying test functions and the Gelfand‐Shilov spaces of type S , in terms of the decay of their short‐time Fourier transform and in terms of their Gabor coefficients.

Topics & Keywords

Mathematical Analysis and Transform Methods Digital Filter Design and Implementation Image and Signal Denoising Methods

Publication Details

Published in: Journal of Function Spaces

Volume 2, Issue 1, pp. 25-53

DOI: 10.1155/2004/498627

Field-Weighted Citation Impact: 6.13

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Spaces of Test Functions via the STFT

Authors

Abstract

Topics & Keywords

Publication Details