Metric domains, holomorphic mappings and nonlinear semigroups

Metric domains, holomorphic mappings and nonlinear semigroups

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...

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Bibliographic Details
Main Authors: Simeon Reich, David Shoikhet
Format: Article
Language:English
Published: Hindawi Limited 1998-01-01
Series:Abstract and Applied Analysis
Subjects:
Banach space
Cauchy problem
exponential formula
holomorphic retraction
hyperbolic metric
infinitesimal generator
nonlinear semigroup
product formula
resolvent
Schwarz-Pick system
stationary point set.
Online Access:http://dx.doi.org/10.1155/S1085337598000529

Internet

http://dx.doi.org/10.1155/S1085337598000529

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