Univalent functions and Diff(S1)/S1

被引:0
|
作者
Davis, Simon [1 ]
机构
[1] Res Fdn So Calif, La Jolla, CA 92039 USA
关键词
Univalent; diffeomorphism group; superanalytic functions; SUPER RIEMANN SURFACES; DIVERGENCES;
D O I
10.1007/s10114-011-0125-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The relation between Diff( (1))/ (1) and the space of univalent analytic functions on the disk is elucidated and shown to provide upper bounds for the volumes of exhaustive approximations to an analytic submanifold of an infinite-dimensional space. The maximum magnitudes of the coefficients in the series expansions of univalent superanalytic functions on the superdisk are inferred.
引用
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页码:1233 / 1236
页数:4
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