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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2009 Volume 5, 071, 12 pp. (Mi sigma416)
This article is cited 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

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.

MSC: 42B20; 42C15; 44A15; 44A35

Received: March 2, 2009; in final form July 4, 2009; Published online July 14, 2009

Language: English

DOI: 10.3842/SIGMA.2009.071



Bibliographic databases:
ArXiv: 0907.2341

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