Einbettung unendlich teilbarer Wahrscheinlichkeitsma\e auf topologischen Gruppen

On infinite divisibility and embedding of probability measures on a locally compact Abelian group

“…From Siebert's paper [14,6,Satz 4] follows that this closed subgroup of the vector space is strongly root compact. In fact, if |I| is infinite, then there exists a closed, discrete, free subgroup N of Z I which is uniformly root compact such that…”

An introduction to the embedding problem for probabilities on locally compact groups

“…This rather awkward looking condition on G was introduced by Böge [1] and exploited by Siebert [23] to solve the embedding problem for a number of classes of locally compact groups. The notion is important because of the following result.…”

On the construction of one-parameter semigroups in topological semigroups

“…1* Introduction* We are concerned with the question of when a divisible element in a topological semigroup can be embedded in a one-parameter semigroup which has many applications in Probability theory (cf. [4], [8]). …”

“…The first result of a generalized one-parameter semigroup theorem dealing with the embedding problems which we will call the Embedding and Density Theorem is indicated by Hofmann in [4] and later proved by Siebert [8]. Siebert's proof is based on the notion of a local semigroup called ducleus (cf.…”