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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; jxj2α+1dx), where k 2 f1; 2; ...g and .

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