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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 071, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.071 (Mi sigma416) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Inversion of the Dual Dunkl–Sonine Transform on $\mathbb R$ Using Dunkl Wavelets

Mohamed Ali Mourou

Department of Mathematics, Faculty of Sciences, Al-Jouf University, P. O. Box 2014, Al-Jouf, Skaka, Saudi Arabia
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DOI: https://doi.org/10.3842/SIGMA.2009.071
Abstract: We prove a Calderón reproducing formula for the Dunkl continuous wavelet transform on $\mathbb R$. We apply this result to derive new inversion formulas for the dual Dunkl–Sonine integral transform.
Keywords: Dunkl continuous wavelet transform; Calderón reproducing formula; dual Dunkl–Sonine integral transform.
Received: March 2, 2009; in final form July 4, 2009; Published online July 14, 2009
Bibliographic databases:
Document Type: Article
MSC: 42B20; 42C15; 44A15; 44A35
Language: English
Citation: Mohamed Ali Mourou, “Inversion of the Dual Dunkl–Sonine Transform on $\mathbb R$ Using Dunkl Wavelets”, SIGMA, 5 (2009), 071, 12 pp.
Citation in format AMSBIB
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\paper Inversion of the Dual Dunkl--Sonine Transform on $\mathbb R$ Using Dunkl Wavelets
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    		Symmetry, Integrability and Geometry: Methods and Applications
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