论文标题
具有完全断开边界的公制图
Metric Graphs with Totally Disconnected Boundary
论文作者
论文摘要
为一类普通无限的加权图制定了边界分析，并具有紧凑的度量完成。这些图形完成完全断开了界限。 $ε$ - 组件的经典概念和合适的措施的存在用于在边界上构建广义HAAR基础和Hilbert功能空间。使用谐波功能构建和分析合适的出口措施。
Boundary analysis is developed for a rich class of generally infinite weighted graphs with compact metric completions. These graph completions have totally disconnected boundaries. The classical notion of $ε$-components and the existence of suitable measures are used to construct generalized Haar bases and Hilbert spaces of functions on the boundaries. Suitable exit measures are constructed and analyzed using harmonic functions.
