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Spaces of Test Functions via the STFT

  • Gröchenig K
  • Zimmermann G
Journal of Function Spaces (2004) 2(1) 25-53
DOI: 10.1155/2004/498627
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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.

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Gröchenig, K., & Zimmermann, G. (2004). Spaces of Test Functions via the STFT. Journal of Function Spaces, 2(1), 25–53. https://doi.org/10.1155/2004/498627

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