Energy characteristics of subordination chains

Alexander Vasil’ev

doi:10.1007/s11512-006-0031-8

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Home > Journals > Ark. Mat. > Volume 45 > Issue 1 > Article

April 2007 Energy characteristics of subordination chains

Alexander Vasil’ev

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Alexander Vasil’ev¹
¹Department of Mathematics, University of Bergen

Ark. Mat. 45(1): 141-156 (April 2007). DOI: 10.1007/s11512-006-0031-8

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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