%0 Journal Article
%T Spaces of Test Functions via the STFT
%A Karlheinz Gr chenig
%A Georg Zimmermann
%J Journal of Function Spaces and Applications
%D 2004
%I Hindawi Publishing Corporation
%R 10.1155/2004/498627
%X 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.
%U http://www.hindawi.com/journals/jfsa/2004/498627/abs/