Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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TIME-FREQUENCY ANALYSIS ASSOCIATED WITH K-HANKEL-WIGNER TRANSFORMS

  • Boubatra, Mohamed Amine (Laboratoire d'Analyse Mathematique et Applications LR11ES11 Faculte des Sciences de Tunis Universite Tunis El Manar)
  • Received : 2021.04.09
  • Accepted : 2021.07.12
  • Published : 2022.04.30
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Abstract

In this paper, we introduce the k-Hankel-Wigner transform on R in some problems of time-frequency analysis. As a first point, we present some harmonic analysis results such as Plancherel's, Parseval's and an inversion formulas for this transform. Next, we prove a Heisenberg's uncertainty principle and a Calderón's reproducing formula for this transform. We conclude this paper by studying an extremal function for this transform.

Keywords

Acknowledgement

The author thanks the reviewer for the careful reading and the valuable suggestions.

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