Open Access
1998 Metric domains, holomorphic mappings and nonlinear semigroups
Simeon Reich, David Shoikhet
Abstr. Appl. Anal. 3(1-2): 203-228 (1998). DOI: 10.1155/S1085337598000529

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.

Citation

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Simeon Reich. David Shoikhet. "Metric domains, holomorphic mappings and nonlinear semigroups." Abstr. Appl. Anal. 3 (1-2) 203 - 228, 1998. https://doi.org/10.1155/S1085337598000529

Information

Published: 1998
First available in Project Euclid: 8 April 2003

zbMATH: 0993.47040
MathSciNet: MR1700285
Digital Object Identifier: 10.1155/S1085337598000529

Subjects:
Primary: 32H15 , 34G20 , 46G20 , 47H17 , 47H20

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

Rights: Copyright © 1998 Hindawi

Vol.3 • No. 1-2 • 1998
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