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- W60746144 endingPage "247" @default.
- W60746144 startingPage "170" @default.
- W60746144 abstract "The investigation of functions on convex bodies which are valuations, or additive in Hadwiger’s sense, has always been of interest in particular parts of geometric convexity, and it has seen some progress in recent years. The occurrence of valuations in the theory of convex bodies can be traced back to the notion of volume in two essentially different ways. Firstly, the volume of convex bodies, being the restriction of a measure, is itself a valuation. This valuation property carries over to the functions which are deduced from volume in the Brunn-Minkowski theory, namely to mixed volumes, quermassintegrals, surface area functions, and others. Hadwiger’s celebrated characterizations of the quermassintegrals by the valuation and other properties were the culmination of a series of papers on valuations and at the same time the starting point for various subsequent investigations of functionals with similar properties." @default.
- W60746144 created "2016-06-24" @default.
- W60746144 creator A5066242098 @default.
- W60746144 creator A5069372898 @default.
- W60746144 date "1983-01-01" @default.
- W60746144 modified "2023-09-27" @default.
- W60746144 title "Valuations on convex bodies" @default.
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