On almost everywhere divergence of Bochner-Riesz means on compact Lie groups

Xianghong Chen, Dashan Fan

Let $G$ be a connected, simply connected, compact semisimple Lie group of dimension $n$. It has been shown by Clerc \cite{Clerc1974} that, for any $f\in L^1(G)$, the Bochner-Riesz…