Semigroups of complex measures on a locally compact group

Mehler semigroups, Ornstein-Uhlenbeck processes and background driving Lévy processes on locally compact groups and on hypergroups

“…The second property, the existence of common cores, proved independently and nearly simultaneously by J. Faraut, K. Harzallah, F. Hirsch, J.P. Roth, [12,11,21,22,23,24,35], is crucial. See also [13,8,9,19]. (In fact, for our purpose a slight generalization of this result is needed, see Theorem 1.9 b), c) below.…”