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Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions
In this paper we prove inversion formulas for the Dunkl intertwining operator Vk and for its dual tVk and we deduce the expression of the representing distributions of the inverse operators Vk⁻¹ and tVk⁻¹, and we give some applications.
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| Language: | English |
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Інститут математики НАН України
2008
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/148994 |
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irk-123456789-1489942019-02-20T01:26:14Z Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions Trimèche, K. In this paper we prove inversion formulas for the Dunkl intertwining operator Vk and for its dual tVk and we deduce the expression of the representing distributions of the inverse operators Vk⁻¹ and tVk⁻¹, and we give some applications. 2008 Article Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions / K. Trimèche // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 17 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 33C80; 43A32; 44A35; 51F15 http://dspace.nbuv.gov.ua/handle/123456789/148994 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 |
In this paper we prove inversion formulas for the Dunkl intertwining operator Vk and for its dual tVk and we deduce the expression of the representing distributions of the inverse operators Vk⁻¹ and tVk⁻¹, and we give some applications. |
| format |
Article |
| author |
Trimèche, K. |
| spellingShingle |
Trimèche, K. Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Trimèche, K. |
| author_sort |
Trimèche, K. |
| title |
Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions |
| title_short |
Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions |
| title_full |
Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions |
| title_fullStr |
Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions |
| title_full_unstemmed |
Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions |
| title_sort |
inversion formulas for the dunkl intertwining operator and its dual on spaces of functions and distributions |
| publisher |
Інститут математики НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148994 |
| citation_txt |
Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions / K. Trimèche // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 17 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT trimechek inversionformulasforthedunklintertwiningoperatoranditsdualonspacesoffunctionsanddistributions |
| first_indexed |
2023-05-20T17:31:36Z |
| last_indexed |
2023-05-20T17:31:36Z |
| _version_ |
1796153498707951616 |