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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2009 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.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| _version_ | 1862570992892641280 |
|---|---|
| author | Li, Zhongkai Song, Futao |
| author_facet | Li, Zhongkai Song, Futao |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-11-26T03:21:59Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149181 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T03:21:59Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Li, Zhongkai Song, Futao 2019-02-19T18:15:47Z 2019-02-19T18:15:47Z 2009 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 https://nasplib.isofts.kiev.ua/handle/123456789/149181 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Inversion Formulas for the Spherical Radon-Dunkl Transform Article published earlier |
| spellingShingle | Inversion Formulas for the Spherical Radon-Dunkl Transform Li, Zhongkai Song, Futao |
| title | Inversion Formulas for the Spherical Radon-Dunkl Transform |
| title_full | Inversion Formulas for the Spherical Radon-Dunkl Transform |
| title_fullStr | Inversion Formulas for the Spherical Radon-Dunkl Transform |
| title_full_unstemmed | Inversion Formulas for the Spherical Radon-Dunkl Transform |
| title_short | Inversion Formulas for the Spherical Radon-Dunkl Transform |
| title_sort | inversion formulas for the spherical radon-dunkl transform |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149181 |
| work_keys_str_mv | AT lizhongkai inversionformulasforthesphericalradondunkltransform AT songfutao inversionformulasforthesphericalradondunkltransform |