Xianghong Chen (UW Milwaukee):
On almost everywhere divergence of Bochner-Riesz means

Abstract: A famous result of Kolmogorov (1922, when he was 19!) states that
there exists an integrable function on the circle whose Fourier series
diverges almost everywhere. Kolmogorov's result was extended by Stein
(1961) to multiple Fourier series where the partial sums are naturally
replaced by the Bochner-Riesz means. In this talk I will present a
generalization of Kolmogorov and Stein's result to certain compact Lie
groups. This is joint work with Dashan Fan.