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arXiv · 0907.2341

Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets

Mohamed Ali Mourou
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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.

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Mohamed Ali Mourou. 2009-07-14. Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets. https://doi.org/10.3842/sigma.2009.071

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