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Inversion Formulas for the Spherical Radon-Dunkl Transform

Vernadsky National Library of Ukraine

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Title Inversion Formulas for the Spherical Radon-Dunkl Transform
 
Creator Li, Zhongkai
Song, Futao
 
Description 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.
 
Date 2019-02-19T18:15:47Z
2019-02-19T18:15:47Z
2009
 
Type Article
 
Identifier 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.
1815-0659
2000 Mathematics Subject Classification: 44A12; 33C55; 65R32; 42C40
http://dspace.nbuv.gov.ua/handle/123456789/149181
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України