Zur Analytischen Darstellung des Ranges Konvexer Körper Durch Stützhyperboloide

LetK be a convex body in (n+1)-dimensional Euclidean space Eⁿ⁺¹. The set (K) of all support-elements ofK is uniquely determined by the semiaxis-function a(u). First part of this note contains an explicit specification of the support-elements by means of a(u), and in the second part we give necessary and sufficient conditions which characterize a function a(u) as semiaxis-function of a closed convex subset of Eⁿ⁺¹.