Generalization of Titchmarsh’s Theorem for the Dunkl Transform on the Real Line

In this paper we shall prove the generalization of Titchmarsh's Theorem for the Dunkl transform for functions satisfying the k-Dunkl Lipschitz condition in the space L2,α = L2(ℝ; jxj^2α+1dx), where k 2 f1; 2; ...g and .