Sonine Transform Associated to the Dunkl Kernel on the Real Line
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 Planch...
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2008 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2008
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147997 |
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| Цитувати: | 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147997 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1479972019-02-17T01:26:47Z Sonine Transform Associated to the Dunkl Kernel on the Real Line Soltani, F. 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. 2008 Article 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 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 |
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. |
| format |
Article |
| author |
Soltani, F. |
| spellingShingle |
Soltani, F. Sonine Transform Associated to the Dunkl Kernel on the Real Line Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Soltani, F. |
| author_sort |
Soltani, F. |
| title |
Sonine Transform Associated to the Dunkl Kernel on the Real Line |
| title_short |
Sonine Transform Associated to the Dunkl Kernel on the Real Line |
| title_full |
Sonine Transform Associated to the Dunkl Kernel on the Real Line |
| title_fullStr |
Sonine Transform Associated to the Dunkl Kernel on the Real Line |
| title_full_unstemmed |
Sonine Transform Associated to the Dunkl Kernel on the Real Line |
| title_sort |
sonine transform associated to the dunkl kernel on the real line |
| publisher |
Інститут математики НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147997 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT soltanif soninetransformassociatedtothedunklkernelontherealline |
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2023-05-20T17:28:59Z |
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2023-05-20T17:28:59Z |
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1796153396552531968 |