| The Roper-Suffridge extension operator and classes of biholomorphic mappings Dedicated to Professor Sheng GONG on the occasion of his 75th birthday |
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| 作者姓名： | GRAHAM Ian KOHR Gabriela |
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| 作者单位： | Department of Mathematics University of Toronto Toronto，Ontario M5S 2E4，Canada，Faculty of Mathematics and Computer Science Babes-Bolyai University，1 M. Kogǎlniceanu Str. 400084 Cluj-Napoca，Romania |
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| 摘 要： | In this paper we give a survey about the Roper-Suffridge extension operator and the developments in the theory of univalent mappings in several variables to which it has led. We begin with the basic geometric properties (most of which now have a number of different proofs) and discuss relations with the theory of Loewner chains and generalizations and modifications of the operator, some of which are very recent.
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The Roper-Suffridge extension operator and classes of biholomorphic mappings Dedicated to Professor Sheng GONG on the occasion of his 75th birthday |
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| GRAHAM Ian,KOHR Gabriela.The Roper-Suffridge extension operator and classes of biholomorphic mappings Dedicated to Professor Sheng GONG on the occasion of his 75th birthday[J].Science in China(Mathematics),2006(11). |
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| Authors: | GRAHAM Ian & KOHR Gabriela |
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| Institution: | GRAHAM Ian & KOHR Gabriela Department of Mathematics,University of Toronto,Toronto,Ontario M5S 2E4,Canada, Faculty of Mathematics and Computer Science,Babes-Bolyai University,1 M. Kogalniceanu Str. 400084 Cluj-Napoca,Romania |
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| Abstract: | In this paper we give a survey about the Roper-Suffridge extension operator and the developments in the theory of univalent mappings in several variables to which it has led. We begin with the basic geometric properties (most of which now have a number of different proofs) and discuss relations with the theory of Loewner chains and generalizations and modifications of the operator, some of which are very recent. |
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| Keywords: | convex mapping starlike mapping Roper-Suffridge operator growth theorem distortion theorem covering theorem Loewner chain parametric representation extreme points linear invariant family |
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