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Symmetry, Integrability and Geometry: Methods and Applications, 2008, Volume 4, 067, 22 pp.
DOI: https://doi.org/10.3842/SIGMA.2008.067 (Mi sigma320) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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

Khalifa Trimèche

Faculty of Sciences of Tunis, Department of Mathematics, 1060 Tunis, Tunisia
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DOI: https://doi.org/10.3842/SIGMA.2008.067
URL: https://emis.mi.ras.ru/journals/SIGMA/2008/067
Abstract: In this paper we prove inversion formulas for the Dunkl intertwining operator $V_k$ and for its dual ${}^tV_k$ and we deduce the expression of the representing distributions of the inverse operators $V^{-1}_k$ and ${}^tV_k^{-1}$, and we give some applications.
Keywords: inversion formulas; Dunkl intertwining operator; dual Dunkl intertwining operator.
Received: May 13, 2008; in final form September 16, 2008; Published online September 29, 2008
Bibliographic databases:
Document Type: Article
MSC: 33C80; 43A32; 44A35; 51F15
Language: English
Citation: Khalifa Trimèche, “Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions”, SIGMA, 4 (2008), 067, 22 pp.
Citation in format AMSBIB
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\vol 4
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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