Abstract
We consider a singular differential-difference operator $\Lambda$ on $\R$ which generalizes the one-dimensional Dunkl operator. Using harmonic analysis associated with $\Lambda$ we define and study three types of generalized wavelet packets and the corresponding wavelet transforms. As an application, we introduce on $\R$ a new multiresolution analysis tied to $\Lambda$.
Citation
W Chabeh. M. A. Mourou. "Wavelet Packets Associated with a Dunkl Type Operator on the Real Line." Commun. Math. Anal. 12 (1) 96 - 116, 2012.
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