Abstract

The properties of the capacity of condensers and capacities of compact sets on a compact Riemann surface are investigated. These properties generalize those of the corresponding objects in the complex plane. Discrete analogs of capacities are defined, and their convergence to the corresponding capacities of compact sets and condensers is proved.

中文翻译：

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紧凑型黎曼曲面上的电容

摘要

研究了电容器的容量特性和在紧黎曼曲面上的紧定集容量。这些属性概括了复杂平面中相应对象的属性。定义了容量的离散类似物，并证明了它们与紧凑型机组和冷凝器的相应容量的收敛性。