A survey on the Weierstrass approximation theorem.
Algèbres -adiques
An Algebraic Approach to Discrete Dilations. Application to Discrete Wavelet Transforms.
An Inversion Formula for the Radon Transform on Trees.
An Lp − Lq - Version of Morgan's Theorem Associated with Partial Differential Operators
2000 Mathematics Subject Classification: 42B10, 43A32.In this paper we take the strip KL = [0, +∞[×[−Lπ, Lπ], where L is a positive integer. We consider, for a nonnegative real number α, two partial differential operators D and Dα on ]0, +∞[×] − Lπ, Lπ[. We associate a generalized Fourier transform Fα to the operators D and Dα. For this transform Fα, we establish an Lp − Lq − version of the Morgan's theorem under the assumption 1 ≤ p, q ≤ +∞.
Asymptotic behaviour of generalized Poisson integrals in rank one symmetric spaces and in trees