Some Results for the Generalized Fourier Transform Associated with the Cherednik-Opdam operator on R

In this paper, using a generalized translation operator, we prove the estimates for the generalized Fourier transform in the space L^p_{\alpha,\beta}(R), on certain classes of functions

( ; ; 2)-CHEREDNIK-OPDAM LIPSCHITZ FUNCTIONS IN THE SPACE L2 ;(R)

In this paper, using a generalized translation operator, we obtain an analog of Younis Theorem 5.2 in [3] for the Cherednik-Opdam transform for functions satisfying the ( ; ; 2)-Cherednik-Opdam Lipschitz condition in the space L2 ;(R)

SOME NEWESTIMTES OF APPROXIMATION OF FUNCTIONS BY FOURIER-JACOBI SUMS

In this paper, several direct and inverse theorems are proved concerningthe approximation of one-variable functions from the space L2, by partialsums of Fourier-Jacobi series

Lipschitz Conditions in Damek–Ricci Spaces

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

Lipschitz Conditions in Damek–Ricci Spaces

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

FOURIER-BESSEL LIPSCHITZ FUNCTIONS IN THE SPACE LP

In this paper, we obtain an analog of Youniss Theorem 5.2 in [5] forthe generalized Fourier-Bessel transform on the real line for functions satisfying the Fourier-Bessel Lipschitz condition in the space L

Characterization of Dini Lipschitz Functions in Terms of Their Helgason Transform

In this paper, using a generalized translation operator, we obtain an analog of Younis Theorem 5.2 in [6] for the Helgason Fourier transform of a set of functions satisfying the Dini Lipschitz condition in the space L2 for functions on noncompact rank one Riemannian symmetric spaces