论文标题
Hadwiger定理在凸函数上，iv：klain方法
The Hadwiger theorem on convex functions, IV: The Klain approach
论文作者
论文摘要
获得平滑的Hadwiger定理的新证明，并获得了凸功能的持续估值，并确定了凸功能的Klain-Schneider定理。此外，证明了在具有较低维域的功能上定义的估值定理的扩展定理，并解释了其与ABEL变换的联系。
New proofs of the Hadwiger theorem for smooth and for continuous valuations on convex functions are obtained, and the Klain-Schneider theorem on convex functions is established. In addition, an extension theorem for valuations defined on functions with lower dimensional domains is proved, and its connection to the Abel transform is explained.
