Geodesic
Inversion of the Dual Dunkl–Sonine Transform on $\mathbb R$ Using Dunkl Wavelets
Symmetry, integrability and geometry: methods and applications, Tome 5 (2009) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{SIGMA_2009_5_a70,
     author = {Mohamed Ali Mourou},
     title = {Inversion of the {Dual} {Dunkl{\textendash}Sonine} {Transform} on $\mathbb R$ {Using} {Dunkl} {Wavelets}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2009},
     volume = {5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2009_5_a70/}
}
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Mohamed Ali Mourou. Inversion of the Dual Dunkl–Sonine Transform on $\mathbb R$ Using Dunkl Wavelets. Symmetry, integrability and geometry: methods and applications, Tome 5 (2009). http://geodesic.mathdoc.fr/item/SIGMA_2009_5_a70/

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