salah El ouadih

university

[ 1 ] - Generalization of Titchmarsh's Theorem for the Dunkl Transform

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.

[ 2 ] - Estimates for the Generalized Fourier-Bessel Transform in the Space L2

Some estimates are proved for the generalized Fourier-Bessel transform in the space (L^2) (alpha,n)-index certain classes of functions characterized by the generalized continuity modulus.

نویسندگان همکار