BOCHNER-RIESZ MEANS ON SYMMETRIC SPACES

Abstract

We combine results of Giulini and Mauceri and our earlier work to obtain an almost-everywhere convergence result for the Bochner-Riesz means of the inverse spherical transform of bi-invariant L^p functions on a noncompact rank one Riemannian symmetric space. Following a technique of Kanjin, we show that this result is sharp.