Inversion Formulas for the Spherical Radon-Dunkl Transform

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dc.creatorLi, Zhongkai
dc.creatorSong, Futao
dc.date2009-03-03
dc.date.accessioned2026-07-07T12:48:44Z
dc.date.available2026-07-07T12:48:44Z
dc.descriptionThe spherical Radon-Dunkl transform $R_κ$, 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 $R_κ$ are given with the aid of spherical Riesz-Dunkl potentials, the Dunkl operators, and some appropriate wavelet transforms.
dc.identifierhttps://arxiv.org/abs/0903.0573
dc.identifierhttp://arxiv.org/abs/0903.0573
dc.identifierSIGMA 5 (2009), 025, 15 pages
dc.identifierdoi:10.3842/SIGMA.2009.025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222157
dc.subjectClassical Analysis and ODEs
dc.subjectFunctional Analysis
dc.titleInversion Formulas for the Spherical Radon-Dunkl Transform
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