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M. A. Mourou and K. Trimeche, “Calderon’s Reproducing Formula Related to the Dunkl Operator on the Real Line,” Monatshe fur Mathematik, Vol. 136, No. 1, 2002, 47-65. doi:10.1007/s006050200033

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.