Energy characteristics of subordination chains

• Autores: Alexander Vasil'ev
• Localización: Arkiv för matematik, ISSN 0004-2080, Vol. 45, Nº 1, 2007, págs. 141-156
• Idioma: inglés
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• Resumen

  • 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.