论文标题
凸体边界的积分身份
Integral Identities for the boundary of a convex body
论文作者
论文摘要
我们介绍了Pleijel和Ambartzumian-Pleijel身份的多维版本。我们还获得了blaschke-petkantschin和Zähle公式的概括，考虑到凸体内的某些点和边界上的一些点时的情况。此外，得出了Zähle公式的版本。
We present the multidimensional versions of the Pleijel and Ambartzumian--Pleijel identities. We also obtain the generalization of both the Blaschke--Petkantschin and Zähle formulae considering the case when some points are chosen inside the convex body and some on the boundary. Moreover, a version of the Zähle formula for the polytopes is derived.
