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arXiv · 0809.5021

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

Khalifa Trimèche
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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 $V_k^{-1}$ and ${}^tV_k^{-1}$, and we give some applications.

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BibTeXRIS

Khalifa Trimèche. 2008-09-29. Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions. https://doi.org/10.3842/sigma.2008.067

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