The $q$-Dunkl wavelet packets

Year 2018, Volume: 6 Issue: 2, 311 - 320, 15.10.2018

Slim Bouaziz , Kamel Mezlini Ahmed Fitouhi

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

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