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Directional Short-Time Fourier Transform and Quasiasymptotics of Distributions

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Abstract

We give an Abelian type result relating the quasiasymptotic boundedness of tempered distributions to the asymptotics of their directional short-time Fourier transform (DSTFT). We also prove several Abelian-Tauberian results characterizing the quasiasymptotic behavior of distributions in \(\mathscr{S}'\)(ℝn) in terms of their DSTFT with fixed direction.

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Authors and Affiliations

  1. Faculty of Computer Science, University Goce Delčev, Shtip, Macedonia

    J. V. Buralieva

  2. Faculty of Electrical Engineering and Information Technologies, Ss. Cyril and Methodius University, Skopje, Macedonia

    K. Saneva & S. Atanasova

Authors
  1. J. V. Buralieva
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  2. K. Saneva
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  3. S. Atanasova
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Corresponding authors

Correspondence to J. V. Buralieva, K. Saneva or S. Atanasova.

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Buralieva, J.V., Saneva, K. & Atanasova, S. Directional Short-Time Fourier Transform and Quasiasymptotics of Distributions. Funct Anal Its Appl 53, 3–10 (2019). https://doi.org/10.1007/s10688-019-0244-9

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  • DOI: https://doi.org/10.1007/s10688-019-0244-9

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