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
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.