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arXiv math-ph/0509072math-phmath.CVmath.MP
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从属链的能量特征

Energy characteristics of subordination chains

Alexander Vasil'ev

摘要:

本文研究复平面上具有光滑边界的单连通域的从属链。这样的链承认汉密尔顿和拉格朗日解释通过Loewner-Kufarev演化方程。构造了作用泛函,并求出了作用泛函的时变特性。它表示Virasoro-Bott群在解析单叶函数空间上作用的无穷小版本。

英文摘要:

We consider subordination chains of simply connected domains with smooth boundaries in the complex plane. Such chains admit Hamiltonian and Lagrangian interpretations through the Loewner-Kufarev evolution equations. The action functional is constructed and its time variation is obtained. It represents the infinitesimal version of the action of the Virasoro-Bott group over the space of analytic univalent functions.

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