论文标题
Hadwiger定理在凸函数上，我
The Hadwiger theorem on convex functions, I
论文作者
论文摘要
建立了对$ {\ Mathbb r}^n $上的所有连续，表面翻译和旋转不变估值的完整分类。获得的估值是经典内在体积的功能版本。就其定义而言，引入了奇异的Hessian估值。
A complete classification of all continuous, epi-translation and rotation invariant valuations on the space of super-coercive convex functions on ${\mathbb R}^n$ is established. The valuations obtained are functional versions of the classical intrinsic volumes. For their definition, singular Hessian valuations are introduced.
