, Volume 94, Issue 1, pp 73-84

Zonoide und verwandte Klassen konvexer Körper

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Abstract

Forn≧3 and every j∈{2,...,n-1} the existence of ann-dimensional convex bodyK is shown which is not a zonoid, although all itsj-dimensional projections are zonoids. Possible characterizations of such bodies with zonoidal projections are discussed. Further, a characterization of the generating measures of generalized zonoids is given, which extends a result ofLindquist.