Equilibrium Problems of Potential Theory in the Complex Plane
Equilibrium Problems of Potential Theory in the Complex Plane
复制标题
复平面势论的平衡问题
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
A. M. Finkelshtein
中科院分区：
文献类型：
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作者：
A. M. Finkelshtein
这是一个简短的介绍理论的对数势在复杂的平面。中心思想是能量和平衡的概念。我们证明了一些经典的结果特征的平衡分布，并讨论了这些概念的扩展到更一般的设置时，一个外部字段或约束的分布。势理论提供的工具对分析的不同分支产生了深远的影响。我们用近似理论和复动力学的两个例子来说明这些应用。
This is a short introduction to the theory of the logarithmic potential in the complex plane. The central ideas are the concepts of energy and equilibrium. We prove some classical results characterizing the equilibrium distribution and discuss the extension of these notions to more general settings when an external field or constraints on the distribution are present. The tools provided by potential theory have a profound impact on different branches of analysis. We illustrate these applications with two examples from approximation theory and complex dynamics.