Sphere-preserving maps in inversive geometry
Sphere-preserving maps in inversive geometry
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DOI：
10.1090/s0002-9939-01-06427-9
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发表时间：
2001-11
期刊：
影响因子：
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通讯作者：
A. Beardon;D. Minda
中科院分区：
文献类型：
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作者：
A. Beardon;D. Minda
我们广泛讨论了定义在欧几里德n空间子域上的保球映射，以及它们与莫比乌斯映射和交叉比守恒的关系。在n = 2（复平面）的情况下，我们也将这些思想与某些函数方程的解联系起来。
We give an extensive discussion of sphere-preserving maps defined on subdomains of Euclidean n-space, and their relationship to Mobius maps and to the preservation of cross-ratios. In the case n = 2 (the complex plane) we also relate these ideas to the solutions of certain functional equations.