Geodesic
Inversion Formulas for the Spherical Radon–Dunkl Transform
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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The spherical Radon–Dunkl transform $R_{\kappa}$, associated to weight functions invariant under a finite reflection group, is introduced, and some elementary properties are obtained in terms of $h$-harmonics. Several inversion formulas of $R_{\kappa}$ are given with the aid of spherical Riesz–Dunkl potentials, the Dunkl operators, and some appropriate wavelet transforms.
Keywords: spherical Radon–Dunkl transform; $h$-harmonics; inversion formula; wavelet. 
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Zhongkai Li; Futao Song. Inversion Formulas for the Spherical Radon–Dunkl Transform. Symmetry, integrability and geometry: methods and applications, Tome 5 (2009). http://geodesic.mathdoc.fr/item/SIGMA_2009_5_a24/

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