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Contemporary Mathematics. Fundamental Directions, 2007, Volume 21, Pages 149–167
(Mi cmfd82)
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This article is cited in 5 scientific papers (total in 5 papers)
Kœnigs type linearization models and asymptotic behavior of one-parameter semigroups
D. Shoikhet Technion – Israel Institute of Technology
Abstract:
In this paper we study linear-fractional models for one-parameter semigroups of holomorphic mappings via Schröder's and Abel's functional equation. By using some limit schemes in the spirit of Kœnigs to solve those equation, we obtain new results on the asymptotic behavior of one-parameter semigroups having a boundary Denjoy–Wolff fixed point. In addition, we establish infinitisimal versions of the Burns-Krantz rigidity theorem for semigroups and
their generators.
Citation:
D. Shoikhet, “Kœnigs type linearization models and asymptotic behavior of one-parameter semigroups”, Proceedings of the Seminar on Differential and Functional Differential Equations supervised by A. L. Skubachevskii (Peoples' Friendship University of Russia), CMFD, 21, PFUR, M., 2007, 149–167; Journal of Mathematical Sciences, 153:5 (2008), 629–648
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https://www.mathnet.ru/eng/cmfd82 https://www.mathnet.ru/eng/cmfd/v21/p149
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Abstract page: | 272 | Full-text PDF : | 72 | References: | 29 |
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