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

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

2008-09-29

arxiv.org/abs/0809.5021v1

SIGMA 4 (2008), 067, 22 pages

Mathematics

Classical Analysis and ODEs

This is a contribution to the Special Issue on Dunkl Operators and Related Topics, published in SIGMA (Symmetry, Integrability

Scientific paper

10.3842/SIGMA.2008.067

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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