A SYMPLECTIC FUNCTIONAL ANALYTIC PROOF OF THE CONFORMAL WELDING THEOREM

被引：0

作者：

Schippers, Eric ^{[1
]}

Staubach, Wolfgang ^{[2
]}

机构：

[1] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

[2] Uppsala Univ, Dept Math, S-75106 Uppsala, Sweden

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 01期

关键词：

Conformal welding; Grunsky matrix; infinite Siegel disk; quasi-symmetries; conformal maps;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a new functional-analytic/symplectic geometric proof of the conformal welding theorem. This is accomplished by representing composition by a quasisymmetric map phi as an operator on a suitable Hilbert space and algebraically solving the conformal welding equation for the unknown maps f and g satisfying g o phi = f. The univalence and quasiconformal extendibility of f and g is demonstrated through the use of the Grunsky matrix.

引用

页码：265 / 278

页数：14

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