Metric domains, holomorphic mappings and nonlinear semigroups

Abstract and Applied Analysis

David Shoikhet¹  Simeon Reich² 

[1] Department of Applied Mathematics, International College of Technology, Karmiel 20101, Israel;Department of Mathematics, The Technion-Israel Institute of Technology, Haifa 32000, Israel;

关键词: Banach space;    Cauchy problem;    exponential formula;    holomorphic retraction;    hyperbolic metric;    infinitesimal generator;    nonlinear semigroup;    product formula;    resolvent;    Schwarz-Pick system;    stationary point set.;   

DOI  :  10.1155/S1085337598000529

来源: DOAJ

【 摘 要 】

We study nonlinear semigroups of holomorphic mappings on certain domains in complex Banach spaces. We examine, in particular, their differentiability and their representations by exponential and other product formulas. In addition, we also construct holomorphic retractions onto the stationary point sets of such semigroups.

【 授权许可】

Unknown