Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Abstract
Mathematics Subject Classification: 42B10In this paper, we establish real Paley-Wiener theorems for the Dunkl
transform on R^d. More precisely, we characterize the functions in the Schwartz space S(R^d) and in L^2k(R^d) whose Dunkl transform has bounded, unbounded, convex and nonconvex support