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SIGMA 5 (2009), 071, 12 pages arXiv:0907.2341
https://doi.org/10.3842/SIGMA.2009.071
Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets
Mohamed Ali Mourou
Department of Mathematics, Faculty of Sciences, Al-Jouf University, P.O. Box 2014, Al-Jouf, Skaka, Saudi Arabia
Received March 02, 2009, in final form July 04, 2009; Published online July 14, 2009
Abstract
We prove a Calderón reproducing formula for the Dunkl continuous wavelet transform on R.
We apply this result to derive new inversion formulas for the dual Dunkl-Sonine integral transform.
Key words:
Dunkl continuous wavelet transform; Calderón reproducing formula; dual Dunkl-Sonine integral transform.
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