Topics in Complex Analysis

Topics in Complex Analysis
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复杂分析主题

DOI:
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发表时间:
1996
期刊:
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通讯作者:
M. Andersson
M. Andersson
中科院分区:
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文献类型:
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作者:
M. Andersson

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这本书是过去十年在哥德堡大学和查尔默斯理工大学多次演讲的产物。与大多数关于复杂分析的介绍性教材相反,它是以基础分析知识为前提的。这使得我们可以相当快地学习最基本的材料,并在一学期的课程中达到一些经典的亮点,如Fatou定理和一些nevanlinna理论,以及较新的主题,例如日冕定理和H1-BMO对偶。
This book is an outgrowth of lectures given at several occasions at the University of Goteborg and Chalmers University of Technology during the last ten years. Contrary to most introductory texts on complex analysis, it preassumes knowledge of basic analysis. This makes it possible to move rather quickly through the most fundamental material and to reach within a one-semester course some classical highlights such as Fatou theorems and some Nevanlinna theory, as well as more recent topics, for example the corona theorem and the H1-BMO duality.