The Mixed Volumes and Geissinger Multiplications of Convex Sets
作者:
Beifang Chen,
期刊:
Studies in Applied Mathematics
(WILEY Available online 1994)
卷期:
Volume 91,
issue 1
页码: 39-50
ISSN:0022-2526
年代: 1994
DOI:10.1002/sapm199491139
数据来源: WILEY
摘要:
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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