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Univalent Functions and Diff(S^1)/S^1

Univalent Functions and Diff( S^1)/S^1
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摘要 The relation between Diff（S^1）/S^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. The relation between Diff（S^1）/S^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.
作者 Simon DAVIS
机构地区 Research Foundation of Southern California
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2012年第6期1233-1236,共4页 数学学报（英文版）
关键词 UNIVALENT diffeomorphism group superanalytic functions Univalent, diffeomorphism group, superanalytic functions
分类号 O174.51 [理学—基础数学] TP333.35 [自动化与计算机技术—计算机系统结构]
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参考文献15

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Acta Mathematica Sinica,English Series
2012年 第6期

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