Abstract and Applied Analysis 
Volume 3 (1998), Issue 1-2, Pages 203-228
doi:10.1155/S1085337598000529

Metric domains, holomorphic mappings and nonlinear semigroups

Simeon Reich1 and David Shoikhet2

 1Department of Mathematics, The Technion-Israel Institute of Technology, Haifa 32000, Israel
2Department of Applied Mathematics, International College of Technology, Karmiel 20101, Israel
Received 19 February 1998

Abstract

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.