A New Wavelet Transform and Its Localization Operators

Saifallah Ghobber () and Hatem Mejjaoli
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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

Mathematics, 2025, vol. 13, issue 11, 1-32

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.

Keywords: linear canonical Dunkl transform; generalized wavelet transform; localization operators (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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