The Mixed Volumes and Geissinger Multiplications of Convex Sets
This paper introduces Geissinger multiplication on the vector space generated by indicator functions of closed convex sets. Minkowski's mixed volume for compact convex sets is naturally represented in terms of the volume of the Geissinger multiplication of their indicator functions. Some properties of mixed volumes and new results are obtained by this representation, including a polynomial identity.
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Document Type: Research Article
Publication date: January 1, 1994