Generalization of Titchmarsh's Theorem for the Dunkl Transform
محورهای موضوعی : فصلنامه ریاضیsalah El ouadih 1 , Radouan Daher 2
1 - university
2 - .
کلید واژه: Dunkl transform, Dunkl kernel, generalized spherical mean operator,
چکیده مقاله :
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.
