Let $S$ be the set of all rapidly decreasing $C^{\infty}$-functions 
defined in $R^{k}$ and $S'$ its topological dual for the usual topology. 
$S'$  is definable as a ranked space. The family of preneighbourhoods defines 
a topology for it. We denote the space equipped with the topology by $S_{R}'.$
Our aim in this note is to study Strassen's marginal measure problems for $S_{R}'.$
Our results are that if we read continuous functions and open sets as Borel measurable
functions and Borel sets, respectively, in [8], Theorem 7 and Theorem 11, then 
the similalities of Strassen's results hold still.