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C. F. Dunkl, “Differential-Difference Operators Associated to Refection Groups,” Transactions of the American Mathematical Society, Vol. 311, No. 1, 1989, pp. 167-183. doi:10.1090/S0002-9947-1989-0951883-8

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.