C. F. Dunkl, “Hankel Transforms Associated to Finite Reflection Groups,” Contemporary Mathematics, Vol. 138, No. 1, 1992, pp. 128-138.
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.