Title:  Convolution semigroups of probability measures on compact Lie groups

Abstract: As mentioned in the previous talk, if a convolution semigroup has an \(L^2\) density at time \(t > 0\), then the density is continuous and converges to 1 uniformly as \(t\) goes to infinity. In this talk, some useful conditions ensuring the existence of an \(L^2\) density are provided.