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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2008 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2008
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/148994 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862546442411835392 |
|---|---|
| author | Trimèche, K. |
| author_facet | Trimèche, K. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-11-25T10:20:49Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148994 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T10:20:49Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Trimèche, K. 2019-02-19T12:48:46Z 2019-02-19T12:48:46Z 2008 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 https://nasplib.isofts.kiev.ua/handle/123456789/148994 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. This paper is a contribution to the Special Issue on Dunkl Operators and Related Topics. The author would like to thank the referees for their interesting and useful remarks. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions Article published earlier |
| spellingShingle | Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions Trimèche, K. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148994 |
| work_keys_str_mv | AT trimechek inversionformulasforthedunklintertwiningoperatoranditsdualonspacesoffunctionsanddistributions |