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Inversion Formulas for the Spherical Radon-Dunkl Transform
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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| dc.contributor.author | Li, Zhongkai | |
| dc.contributor.author | Song, Futao | |
| dc.date.accessioned | 2019-02-19T18:15:47Z | |
| dc.date.available | 2019-02-19T18:15:47Z | |
| dc.date.issued | 2009 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2000 Mathematics Subject Classification: 44A12; 33C55; 65R32; 42C40 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/149181 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue on Dunkl Operators and Related Topics. This work is supported by the National Natural Science Foundation of China (No. 10571122), the Beijing Natural Science Foundation, the Project of Excellent Young Teachers and the Doctoral Programme Foundation of National Education Ministry of China, and the Project of Beijing Education Ministry. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Inversion Formulas for the Spherical Radon-Dunkl Transform | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
