some remarks concerning the jacobi-dunkl transform in the space lp(r,aα,β(t)dt)

some remarks concerning the jacobi-dunkl transform in the space lp(r,aα,β(t)dt)

;R. Daher;S. El Ouadih;A. Belkhadir
artium 2015 Vol. 8 pp. 104-109
149
daher2015internationalsome

Abstract

In this paper, using a generalized Jacobi-Dunkl translation operator, we obtain a generalization of Titchmarsh’s theorem for the Dunkl transform for functions satisfying the (φ,p)-Lipschitz Jacobi-Dunkl condition in the  space Lp(R,Aα,β(t)dt),α ≥ β ≥−1/2, α≠−1/2.

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