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L.Hormander 作者

North Holland

译者

1990-01-01 出版日期

268 页数

USD 114.00 价格

Hardcover

North-Holland Mathematical Library 丛书系列

9780444884466 图书编码

An Introduction to Complex Analysis in Several Variables 在线电子书图书标签: 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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An Introduction to Complex Analysis in Several Variables 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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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An Introduction to Complex Analysis in Several Variables 在线电子书著者简介

An Introduction to Complex Analysis in Several Variables 在线电子书图书目录

An Introduction to Complex Analysis in Several Variables 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

An Introduction to Complex Analysis in Several Variables 在线电子书图书描述

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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