Generalization of Titchmarsh's Theorem for the Dunkl transform


Department of Mathematics, Faculty of Science Ain Chock, University Hassan II, Casablanca, Morocco


Using a generalized spherical mean operator, we obtain the generalization
of Titchmarsh's theorem for the Dunkl transform for functions satisfying
the Lipschitz condition in L2(Rd;wk), where wk is a weight function invariant
under the action of an associated re
ection groups.


  • Receive Date: 01 January 2012
  • Revise Date: 01 September 2012
  • Accept Date: 01 September 2012
  • First Publish Date: 01 September 2012