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April 2007 Energy characteristics of subordination chains
Alexander Vasil’ev
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Ark. Mat. 45(1): 141-156 (April 2007). DOI: 10.1007/s11512-006-0031-8

Abstract

We consider subordination chains of simply connected domains with smooth boundaries in the complex plane. Such chains admit Hamiltonian and Lagrangian interpretations through the Löwner–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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Alexander Vasil’ev. "Energy characteristics of subordination chains." Ark. Mat. 45 (1) 141 - 156, April 2007. https://doi.org/10.1007/s11512-006-0031-8

Information

Received: 30 September 2005; Published: April 2007
First available in Project Euclid: 31 January 2017

zbMATH: 1154.30010
MathSciNet: MR2312958
Digital Object Identifier: 10.1007/s11512-006-0031-8

Rights: 2007 © Institut Mittag-Leffler

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Vol.45 • No. 1 • April 2007
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