Overview
- Systematic exposition of many results previously published only in Chinese
- Unlike most books on the subject, considers both real and complex Clifford analysis rather than just real Clifford analysis
- Considers not only regular (i.e., monogenic) functions but also generalized regular functions
- Includes supplementary material: sn.pub/extras
Part of the book series: Advances in Complex Analysis and Its Applications (ACAA, volume 5)
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About this book
Clifford analysis, a branch of mathematics that has been developed since about 1970, has important theoretical value and several applications. In this book, the authors introduce many properties of regular functions and generalized regular functions in real Clifford analysis, as well as harmonic functions in complex Clifford analysis. It covers important developments in handling the incommutativity of multiplication in Clifford algebra, the definitions and computations of high-order singular integrals, boundary value problems, and so on. In addition, the book considers harmonic analysis and boundary value problems in four kinds of characteristic fields proposed by Luogeng Hua for complex analysis of several variables. The great majority of the contents originate in the authors’ investigations, and this new monograph will be interesting for researchers studying the theory of functions.
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Keywords
Table of contents (7 chapters)
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Front Matter
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Back Matter
Reviews
From the reviews:
"It deals with boundary value problems and singular integrals using Clifford analytic methods. One of its merits is the accessibility in English of several results published up to now only in Chinese. … The references include articles and books by 90 authors. … this is an interesting book … it may be recommended to the specialist." (Klaus Habetha, Zentrablatt MATH, Vol. 1096 (22), 2006)
Authors and Affiliations
Bibliographic Information
Book Title: Real and Complex Clifford Analysis
Authors: Sha Huang, Yu Ying Qiao, Guo Chun Wen
Series Title: Advances in Complex Analysis and Its Applications
DOI: https://doi.org/10.1007/b105856
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag US 2006
Hardcover ISBN: 978-0-387-24535-5Published: 16 November 2005
Softcover ISBN: 978-1-4899-8655-9Published: 28 October 2014
eBook ISBN: 978-0-387-24536-2Published: 16 March 2006
Edition Number: 1
Number of Pages: X, 251
Topics: Real Functions, Several Complex Variables and Analytic Spaces, Partial Differential Equations, Integral Equations, Linear and Multilinear Algebras, Matrix Theory