Another proofs of the geometrical forms of Paley-Wiener theorems for the Dunkl transform and inversion formulas for the Dunkl interwining operator and for its dual

Details Another proofs of the geometrical forms of Paley-Wiener theorems for the Dunkl transform and inversion formulas for the Dunkl interwining operator and for its dual Another proofs of the geometrical forms of Paley-Wiener theorems for the Dunkl transform and inversion formulas for the Dunkl interwining operator and for its dual

2004-05-04

arxiv.org/abs/math/0405050v1

Mathematics

Classical Analysis and ODEs

23 pages

Scientific paper

In this paper we present another proofs of the geometrical forms of
Paley-Wiener theorems for the Dunkl transform given in [15], and we prove
inversion formulas for the Dunl interwining 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).

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