Sonine Transform Associated to the Dunkl Kernel on the Real Line
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Sonine Transform Associated to the Dunkl Kernel on the Real Line
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| Creator |
Soltani, F.
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| Description |
We consider the Dunkl intertwining operator Vα and its dual tVα, we define and study the Dunkl Sonine operator and its dual on R. Next, we introduce complex powers of the Dunkl Laplacian Δα and establish inversion formulas for the Dunkl Sonine operator Sα,β and its dual tSα,β. Also, we give a Plancherel formula for the operator tSα,β.
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| Date |
2019-02-16T16:21:36Z
2019-02-16T16:21:36Z 2008 |
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| Type |
Article
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| Identifier |
Sonine Transform Associated to the Dunkl Kernel on the Real Line / F. Soltani // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 20 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 43A62; 43A15; 43A32 http://dspace.nbuv.gov.ua/handle/123456789/147997 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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