Real Paley-Wiener theorems for the Dunkl transform on Rd

Details Real Paley-Wiener theorems for the Dunkl transform on Rd Real Paley-Wiener theorems for the Dunkl transform on Rd

2005-07-11

arxiv.org/abs/math/0507211v1

Mathematics

Functional Analysis

Scientific paper

In this paper, we establish real Paley-Wiener theorems for the Dunkl
transform on Rd. More precisely, we characterize the functions in the Schwartz
space S(IRd) and in L2k(Rd) whose Dunkl transform has bounded, unbounded,
convex and nonconvex support.

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