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Mark Elin Simeon Reich David Shoikhet Fiana Yacobzon 《Complex Analysis and Operator Theory》2008,2(1):55-86
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. 相似文献
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We present a characterization of functions convex in the positive direction of the real axis with the bounded imaginary part,
which includes a sharp distortion theorem in terms of Poincaré hyperbolic metric and the Bloch norm of those functions. 相似文献
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Fiana Jacobzon Simeon Reich David Shoikhet 《Journal of Fixed Point Theory and Applications》2009,5(1):63-91
We study commutativity and embeddability (into continuous semi-groups) properties of linear fractional self-mappings of the
open unit disk in the complex plane. The common thread in our approach is the classical notion of the Kœnigs function which
we use in each of the three possible cases (dilation, hyperbolic and parabolic). Since we are interested in a classical subject,
the paper is written in the style of a survey, in order to make it accessible to a wider audience. Therefore it contains,
in addition to our new results, an exposition of most relevant facts.
Dedicated to Professor Felix E. Browder with admiration and respect 相似文献
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