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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Date: | 2009 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Published: |
Інститут математики НАН України
2009
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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. |