An Introduction to Complex Analysis in Several Variables

An Introduction to Complex Analysis in Several Variables pdf epub mobi txt 电子书 下载 2025

出版者:North Holland
作者:L.Hormander
出品人:
页数:268
译者:
出版时间:1990-01-01
价格:USD 114.00
装帧:Hardcover
isbn号码:9780444884466
丛书系列:North-Holland Mathematical Library
图书标签:
  • 多复变函数 
  • 数学 
  • L.Hormander 
  • 多复变 
  • 分析 
  • 复变函数 
  • 想啃的 
  • 复分析7 
  •  
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A number of monographs of various aspects of complex analysis in several variables have appeared since the first version of this book was published, but none of them uses the analytic techniques based on the solution of the Neumann Problem as the main tool.

The additions made in this third, revised edition place additional stress on results where these methods are particularly important. Thus, a section has been added presenting Ehrenpreis' ``fundamental principle'' in full. The local arguments in this section are closely related to the proof of the coherence of the sheaf of germs of functions vanishing on an analytic set. Also added is a discussion of the theorem of Siu on the Lelong numbers of plurisubharmonic functions. Since the L<SUP>2</SUP> techniques are essential in the proof and plurisubharmonic functions play such an important role in this book, it seems natural to discuss their main singularities.

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就是没有习题

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从微分方程角度来思考多复分析。纽曼问题和常系数偏微分方程:cousin问题就是已知边界条件的方程问题。替代解析空间用Banach 代数。非齐次黎曼柯西方程的解是柯西积分公式。亚调和函数, Hartogs Oka 。 Stein manifolds 可被嵌入在高维复向量空间其上的凝聚分析层依赖于柯西黎曼方程和局部理论 。流形的复结构可以从黎曼柯西方程给定积分条件。

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就是没有习题

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就是没有习题

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