Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2008
• ISSN: 1815-0659
• 1. Verfasser: Trimèche, K.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2008
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/148994
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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.

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.