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A New Wavelet Transform and Its Localization Operators

Author

Listed:
  • Saifallah Ghobber

    (Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia)

  • Hatem Mejjaoli

    (Department of Mathematics, College of Sciences, Taibah University, P.O. Box 30002, Al Madinah Al Munawarah 42353, Saudi Arabia)

Abstract

In the present paper we define and study a new wavelet transformation associated to the linear canonical Dunkl transform (LCDT), which has been widely used in signal processing and other related fields. Then we define and study a class of pseudo-differential operators known as time-frequency (or localization) operators and we give criteria for its boundedness and Schatten class properties.

Suggested Citation

  • Saifallah Ghobber & Hatem Mejjaoli, 2025. "A New Wavelet Transform and Its Localization Operators," Mathematics, MDPI, vol. 13(11), pages 1-32, May.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:11:p:1771-:d:1664910
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