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Inversion formulas for the spherical Radon-Dunkl transform

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) (2009) 5
DOI: 10.3842/SIGMA.2009.025
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Abstract

The spherical Radon-Dunkl transform Rκ, 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 Rκ are given with the aid of spherical Riesz-Dunkl potentials, the Dunkl operators, and some appropriate wavelet transforms.

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APA

Li, Z., & Song, F. (2009). Inversion formulas for the spherical Radon-Dunkl transform. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 5. https://doi.org/10.3842/SIGMA.2009.025

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