Geodesic
Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions
Symmetry, integrability and geometry: methods and applications, Tome 4 (2008) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{SIGMA_2008_4_a66,
     author = {Khalifa Trim\`eche},
     title = {Inversion {Formulas} for the {Dunkl} {Intertwining} {Operator} and {Its} {Dual} on {Spaces} of {Functions} and {Distributions}},
     journal = {Symmetry, integrability and geometry: methods and applications},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2008_4_a66/}
}
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Khalifa Trimèche. Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions. Symmetry, integrability and geometry: methods and applications, Tome 4 (2008). http://geodesic.mathdoc.fr/item/SIGMA_2008_4_a66/

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