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Real Paley-Wiener theorems for the Dunkl transform on Rd · arXivDesk

math/0507211Jul 11, 2005

Real Paley-Wiener theorems for the Dunkl transform on Rd

Hatem Mejjaoli, Khalifa Trimèche

Functional Analysis

Abstract

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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