Analogue of the Titchmarsh's theorem for the second Hankel-Clifford transformation in the space L^{p}_{\mu}((0;+\infty)).

Abstract

In this paper, and by using a generalized translation operator, we give an analogue of Titchmarsh's theorem ([13], theorem 84) and Younis's theorem ([14], theorem 3:3) for second Hankel-Clifford transform satisfying second
Hankel-Clifford-Lipschitz and second Hankel-Clifford-Dini-Lipschitz conditions n the space L^{p}_{\mu}((0;+\infty)), where 1 < p \leq 2.