论文标题
BV功能在Riemannian歧管上的另一个热量半群表征
Yet another heat semigroup characterization of BV functions on Riemannian manifolds
论文作者
论文摘要
本文在紧凑的riemannian歧管中，根据热度半群的短时间行为的界定差异（BV）功能的表征。特别是，主要结果证明了函数的总变化等于表征空间BV的极限。证明是在两种完全独立的方法（一种概率和一种分析方法）之后进行的。每种方法都呈现不同的优势。
This paper provides a characterization of functions of bounded variation (BV) in a compact Riemannian manifold in terms of the short time behavior of the heat semigroup. In particular, the main result proves that the total variation of a function equals the limit characterizing the space BV. The proof is carried out following two fully independent approaches, a probabilistic and an analytic one. Each method presents different advantages.
