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Status已發表Published
Lipschitz边界上的奇异积分与Fourie理论
钱涛; 李澎涛
Subtype著Authored
2017-02-01
Publisher科学出版社
Publication Place北京
Other Abstract

本书系统地介绍了20世纪80年代以来发展起来的Lipschitz曲线和曲面上的奇异积分和Fourier理论.包括:Lipschitz曲线与曲面上的具有全纯核的奇异积分算子代数、同类型的分数次积分与微分、曲线与曲面上的Fourier乘子理论及其应用,等等.本书的内容涉及调和分析、Clifford分析、单复变与多复变理论等方面.首先介绍Lipschitz曲线上的奇异积分与Fourier乘子理论及其应用.然后转入高维Lipschitz曲面上Fourier乘子和奇异积分理论,重点阐述如何利用多复变,Clifford分析和调和分析的方法建立高维理论,包括Fueter定理的推广及应用、Clifford鞅、球面及其Lipschitz扰动上的奇异积分及Fourier乘子理论.阅读本书需要具备大学高年级的数学基础.

ISBN9787030516985 ; 7030516982
Language中文Chinese
Document TypeBook
CollectionFaculty of Science and Technology
Affiliation澳门大学
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
钱涛,李澎涛. Lipschitz边界上的奇异积分与Fourie理论[M]. 北京:科学出版社, 2017.
APA 钱涛., & 李澎涛 (2017). Lipschitz边界上的奇异积分与Fourie理论. 科学出版社.
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