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2012 Wavelet Packets Associated with a Dunkl Type Operator on the Real Line
W Chabeh, M. A. Mourou
Commun. Math. Anal. 12(1): 96-116 (2012).

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 $\Lambda$.

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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.

Information

Published: 2012
First available in Project Euclid: 12 August 2011

zbMATH: 1241.42025
MathSciNet: MR2846205

Subjects:
Primary: 42B20, 42C15, 44A15, 44A35

Rights: Copyright © 2012 Mathematical Research Publishers

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Vol.12 • No. 1 • 2012
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