Asymptotic Behavior of One-Parameter Semigroups and Rigidity of Holomorphic Generators |
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| Authors: | Mark Elin Simeon Reich David Shoikhet Fiana Yacobzon |
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| Affiliation: | (1) Department of Mathematics, ORT Braude College, P.O. Box 78, IL-21982 Karmiel, Israel;(2) Department of Mathematics, The Technion – Israel Institute of Technology, IL-32000 Haifa, Israel;(3) Department of Software Engineering, ORT Braude College, P.O. Box 78, IL-21982 Karmiel, Israel |
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| Abstract: | We study the asymptotic behavior of one-parameter continuous semigroups of holomorphic mappings. We present angular characteristics of their trajectories at their Denjoy–Wolff points, as well as at their regular repelling points (whenever they exist). This enables us to establish new rigidity properties of holomorphic generators via the asymptotic behavior of the semigroups they generate. Received: May 11, 2007. Accepted: July 22, 2007. |
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| Keywords: | Primary 30C45 Secondary 47H20 |
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