AbstractIn this paper, using a generalized translation operator, we obtain an analog of Younis’ theorem, [

No abstract

In this paper we extend classical Titchmarsh theorems on the Fourier-Helgason transform of Lipschitz functions to the setting of L p -space on Damek-Ricci spaces. As consequences, quantitative Riemann-Lebesgue estimates are obtained and an integrability result for the Fourier-Helgason transform is developed extending ideas used by Titchmarsh in the one dimensional setting.

In this paper, we prove the generalization of Titchmarsh's theorem for the generalized Fourier transform for functions satisfying the (ψ, 2, k)-Cherednik-Opdam Lipschitz condition in the space L2α, β(ℝ).

No abstract