M. A. Mourou, “Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets,” SIGMA, Vol. 5, No. 71, 2009, pp. 1-12.
has been cited by the following article:
TITLE: The Continuous Wavelet Transform Associated with a Dunkl Type Operator on the Real Line
AUTHORS: E. A. Al Zahrani, M. A. Mourou
KEYWORDS: Differential-Difference Operator; Generalized Wavelets; Generalized Continuous Wavelet Transform
JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.5, July 23, 2013
ABSTRACT: We consider a singular differential-difference operator Λ on R which includes as a particular case the one-dimensional Dunkl operator. By using harmonic analysis tools corresponding to Λ, we introduce and study a new continuous wavelet transform on R tied to Λ. Such a wavelet transform is exploited to invert an intertwining operator between Λ and the first derivative operator d/dx.