The $q$-Dunkl wavelet packets

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

References

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