The $q$-Dunkl wavelet packets

Authors : Slim BOUAZİZ, Kamel MEZLİNİ, Ahmed FİTOUHİ

Pages : 311-320

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Publication Date : 2018-10-15

Article Type : Research Paper

Abstract :Using the $q$-harmonic analysis associated with the $q$-Dunkl operator, we study three types of $q$-wavelet packets and their corresponding $q$-wavelet transforms. We give for these wavelet transforms the related Plancherel and inversion formulas as well as their $q$-scale discrete scaling functions.
Keywords : q Harmonic analysis, Packets