Generalization of Titchmarsh's Theorem for the Dunkl Transform

Document Type: Full Length Article

Authors

1 university

2 .

Abstract

Using a generalized spherical mean operator, we obtain a generalization of Titchmarsh's
theorem for the Dunkl transform for functions satisfying the ('; p)-Dunkl Lipschitz condition
in the space Lp(Rd;wl(x)dx), 1 < p 6 2, where wl is a weight function invariant under the
action of an associated re
ection group.

Keywords