《Lipschitz邊界上的奇異積分與Fourier理論（英文版）》是2019年科學出版社出版的圖書，作者是錢濤、李澎濤。
基本介紹
- 中文名：Lipschitz邊界上的奇異積分與Fourier理論（英文版）
- 作者：錢濤、李澎濤
- 出版社：科學出版社
- 出版時間：2019年07月
- ISBN：9787030618399
內容簡介,圖書目錄,
內容簡介
The main purpose of this book is to provide a detailed and comprehensive survey of the theory of singular integrals and Fourier multipliers on Lipschitz curves and sur faces, an area that has been developed since the 1980s. The subject of singular integrals and the related Fourier multipliers on Lipschitz curves and surfaces has an extensive background in harmonic analysis and partial differential equations. The book elaborates on the basic framework, the Fourier methodology, and the main results in various contexts, especially addressing the following topics: singular integral operators with holomorphic kernels, fractional integral and differential operators with holomorphic kernels, holomorphic and monogenic Fourier multipliers, and Cauchy-Dun ford functional calculi of the Dirac operators on Lipschitz curves and surfaces, and the high-dimensional Fueter mapping theorem with applications.
圖書目錄
1 Singular Integrals and Fourier Multipliers on Infinite Lipschitz Curves
2 Singular Integral Operators on Closed Lipschitz Curves
3 Clifford Analysis, Dirac Operator and the Fourier Transform
4 Convolution Singular Integral Operators on Lipschitz Surfaces
5 Holomorphic Fourier Multipliers on Infinite Lipschitz Surfaces
6 Bounded Holomorphic Fourier Multipliers on Closed Lipschitz Surfaces
7 The Fractional Fourier Multipliers on Lipschitz Curves and Surfaces
8 Fourier Multipliers and Singular Integrals on *
Bibliography
Index
