Almost everywhere convergence of Riesz means of one-dimensional Fourier series on the group of 2-adic integers
György Gát, Gábor Lucskai
In this paper, we prove the almost everywhere convergence of Riesz means of integrable functions on the group of 2-adic integers, $\sigma_n^{\alpha,\gamma}f\tof$, where $0<\gamma\leq1\leq\alpha$.