An Introduction to the Theory of Higher-dimensional Quasiconformal Mappings

An Introduction to the Theory of Higher-dimensional Quasiconformal Mappings
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DOI:
10.1090/surv/216
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发表时间:
2017-05
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通讯作者:
F. Gehring
F. Gehring
中科院分区:
其他
文献类型:
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作者:
F. Gehring

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这本书提供了一个现代的,最新的介绍拟共形映射从明确的几何角度来看,强调了广泛的发展,在映射理论在过去几十年和显着的应用几何函数理论到其他领域。它适合作为研究生和研究人员的教科书,有兴趣开始研究映射理论问题或学习拟共形映射的几何方法的基础知识。只有一个基本的背景,在多维真实的分析假设。
This book offers a modern, up-to-date introduction to quasiconformal mappings from an explicitly geometric perspective, emphasizing both the extensive developments in mapping theory during the past few decades and the remarkable applications of geometric function theory to other fields. It is suitable as a textbook for graduate students and researchers interested in beginning to work on mapping theory problems or learning the basics of the geometric approach to quasiconformal mappings. Only a basic background in multidimensional real analysis is assumed.