Inversion of Riesz Potentials for Dunkl Transform
The inversion of Riesz potentials for Dunkl transform when G=Z2d is given by using the generalized wavelet transforms. It is also proved that the Riesz potentials Iακ are automorphisms on the Semyanistyi-Lizorkin spaces.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/8943473 |
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| _version_ | 1849405477505466368 |
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| author | Moyi Liu Futao Song Rongxin Wang |
| author_facet | Moyi Liu Futao Song Rongxin Wang |
| author_sort | Moyi Liu |
| collection | DOAJ |
| description | The inversion of Riesz potentials for Dunkl transform when G=Z2d is given by using the generalized wavelet transforms. It is also proved that the Riesz potentials Iακ are automorphisms on the Semyanistyi-Lizorkin spaces. |
| format | Article |
| id | doaj-art-4df2d0129ae0493080e4f4f9b82c8d29 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-4df2d0129ae0493080e4f4f9b82c8d292025-08-20T03:36:41ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/89434738943473Inversion of Riesz Potentials for Dunkl TransformMoyi Liu0Futao Song1Rongxin Wang2School of Mathematical Sciences, Harbin Normal University, Harbin 150025, ChinaSchool of Mathematical Sciences, Harbin Normal University, Harbin 150025, ChinaSchool of Sciences, Hebei University of Science and Technology, Shijiazhuang 050000, ChinaThe inversion of Riesz potentials for Dunkl transform when G=Z2d is given by using the generalized wavelet transforms. It is also proved that the Riesz potentials Iακ are automorphisms on the Semyanistyi-Lizorkin spaces.http://dx.doi.org/10.1155/2018/8943473 |
| spellingShingle | Moyi Liu Futao Song Rongxin Wang Inversion of Riesz Potentials for Dunkl Transform Journal of Function Spaces |
| title | Inversion of Riesz Potentials for Dunkl Transform |
| title_full | Inversion of Riesz Potentials for Dunkl Transform |
| title_fullStr | Inversion of Riesz Potentials for Dunkl Transform |
| title_full_unstemmed | Inversion of Riesz Potentials for Dunkl Transform |
| title_short | Inversion of Riesz Potentials for Dunkl Transform |
| title_sort | inversion of riesz potentials for dunkl transform |
| url | http://dx.doi.org/10.1155/2018/8943473 |
| work_keys_str_mv | AT moyiliu inversionofrieszpotentialsfordunkltransform AT futaosong inversionofrieszpotentialsfordunkltransform AT rongxinwang inversionofrieszpotentialsfordunkltransform |