| Univalent Functions and Diff（S^1）/S^1 |
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| 作者姓名： | Simon DAVIS |
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| 作者单位： | Research Foundation of Southern California, 8837 Villa La Jolla Drive #13595, La Jolla, CA 92039, USA |
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| 基金项目： | Acknowledgements This work was initially developed at the International Centre for Theoretical Physics, Trieste. The hospitality of the University of California at San Diego, in making this literature in this area of research available, is gratefully acknowledged. |
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| 摘 要： |
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| 关 键 词： | 单叶函数 superdisk 解析函数空间 无穷维空间 扩展系数 流形 |
Univalent functions and Diff(S
1)/S
1 |
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| Simon DAVIS.Univalent functions and Diff(S
1)/S
1[J].Acta Mathematica Sinica,2012,28(6):1233-1236. |
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| Authors: | Simon Davis |
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| Institution: | 1. Research Foundation of Southern California, 8837 Villa La Jolla Drive #13595, La Jolla, CA, 92039, USA
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| Abstract: | 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. |
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| Keywords: | Univalent diffeomorphism group superanalytic functions |
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