Generalization of Titchmarsh's Theorem for the Dunkl Transform
الموضوعات : فصلنامه ریاضی
salah El ouadih
1
(university)
Radouan Daher
2
(.)
الکلمات المفتاحية: Dunkl transform, Dunkl kernel, generalized spherical mean operator,
ملخص المقالة :
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.