Mathematics – Classical Analysis and ODEs
Scientific paper
2009-03-03
SIGMA 5 (2009), 025, 15 pages
Mathematics
Classical Analysis and ODEs
Scientific paper
10.3842/SIGMA.2009.025
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.
Li Zhongkai
Song Futao
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