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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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2009 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149181 |
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| Цитувати: | 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149181 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1491812019-02-20T01:26:43Z Inversion Formulas for the Spherical Radon-Dunkl Transform Li, Zhongkai Song, Futao 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. 2009 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Li, Zhongkai Song, Futao |
| spellingShingle |
Li, Zhongkai Song, Futao Inversion Formulas for the Spherical Radon-Dunkl Transform Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Li, Zhongkai Song, Futao |
| author_sort |
Li, Zhongkai |
| title |
Inversion Formulas for the Spherical Radon-Dunkl Transform |
| title_short |
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_sort |
inversion formulas for the spherical radon-dunkl transform |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149181 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT lizhongkai inversionformulasforthesphericalradondunkltransform AT songfutao inversionformulasforthesphericalradondunkltransform |
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2023-05-20T17:32:31Z |
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2023-05-20T17:32:31Z |
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