具有全不连通的边界的度量图
Metric Graphs with Totally Disconnected Boundary
摘要：
边界分析发展了一个丰富的类一般无限加权图紧度量完成。这些图完备化具有全不连通的边界。利用经典的$ε$ -分量的概念和适当测度的存在性，构造了边界上函数的广义Haar基和希尔伯特空间.适当的退出措施，构造和分析使用调和函数。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
