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A New Wavelet Transform and Its Localization Operators

Saifallah Ghobber, Hatem Mejjaoli

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Source: Crossref

Published: May 26, 2025

DOI: 10.3390/math13111771

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Source 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.

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A New Wavelet Transform and Its Localization Operators — Mathematical Frontier Network