SU(2)-invariant valuations

We obtain an explicit classification of SU(2)-invariant translation in variant continuous valuations on C-2 similar or equal to R-4. In this paper we obtain explicit classification of SU(2)-invariant translation invariant continuous valuations on C-2 similar or equal to R-4. The main result is Theorem 1 below. Let us recall the relevant definitions. Let V be a finite dimensional real vector space. Let K(V) denote the class of all convex compact subsets of V.