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arXiv 0812.0415math.CV
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Blaschke乘积映射的彩色可视化

Color Visualization of Blaschke Product Mappings

Cristina Ballantine, Dorin Ghisa

摘要:

将Blaschke积映射视为覆盖Riemann曲面的正则投影,并求出对应于这些曲面的基本区和覆盖变换,从而得到Blaschke积映射的形象化.一个工作工具是我们在以前的论文中介绍的同时延续的技术。在这里,我们正在改进这种技术的一些特定类型的Blaschke产品的着色前图像的annuli集中在原点允许我们描述的映射具有高度的保真度。

英文摘要:

A visualization of Blaschke product mappings can be obtained by treating them as canonical projections of covering Riemann surfaces and finding fundamental domains and covering transformations corresponding to these surfaces. A working tool is the technique of simultaneous continuation we introduced in previous papers. Here, we are refining this technique for some particular types of Blaschke products for which coloring pre-images of annuli centered at the origin allow us to describe the mappings with a high degree of fidelity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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