Affinely infinitely divisible distributions and the embedding problem (Q5916342)

The main result: every affinely infinitely divisible probability measure on a connected abelian Lie group is infinitely divisible. If \(G\) is a locally compact group, \(A\) a closed abelian subgroup of \(G\), and \(\mu\) a probability measure on \(G\) which is supported on \(A\) and infinitely divisible on \(G\), sufficient conditions for the infinite divisibility of \(\mu\) on \(A\) are given.