Inversion Formulas for the Spherical Radon-Dunkl Transform

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...

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Bibliographic Details
Date:2009
Main Authors: Li, Zhongkai, Song, Futao
Format: Article
Language:English
Published: Інститут математики НАН України 2009
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/149181
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Inversion Formulas for the Spherical Radon-Dunkl Transform / Zhongkai Li, Futao Song // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 36 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine