English

Real Paley-Wiener theorems for the Dunkl transform on Rd

Functional Analysis 2016-08-16 v1

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.

Keywords

Cite

@article{arxiv.math/0507211,
  title  = {Real Paley-Wiener theorems for the Dunkl transform on Rd},
  author = {Hatem Mejjaoli and Khalifa Trimèche},
  journal= {arXiv preprint arXiv:math/0507211},
  year   = {2016}
}