数学
不变(物理)
正多边形
纯数学
真凸函数
交叉口(航空)
凸分析
凸集
差速器(机械装置)
数学分析
凸优化
几何学
物理
热力学
工程类
航空航天工程
数学物理
标识
DOI:10.4310/jdg/1712344223
摘要
We construct valuations on the space of finite-valued convex functions using integration of differential forms over the differential cycle associated to a convex function. We describe the kernel of this procedure and show that the intersection of this space of smooth valuations with the space of all continuous dually epi-translation invariant valuations on convex functions is dense in the latter. As an application, we obtain a description of 1-homogeneous, continuous, dually epi-translation invariant valuations that are invariant with respect to a compact subgroup operating transitively on the unit sphere.
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