Vektorwertige Distributionen als Randverteilungen holomorpher Funktionen

This paper is concerned with the problem, for which locally convex spaces E every E-valued distribution on is representable by the boundary values of an E-valued holomorphic function on /, resp. for which spaces is solvable in C(²,E). This is known in the case of (F)-spaces. A complete solution is given in the case of (DF)-spaces. The class of (DF)-spaces, we obtain, turns out to be interesting in a much wider context. This will be contained in a forthcoming paper.