Real and Complex Clifford Analysis
Real and Complex Clifford Analysis by Sha Huang, published by Springer US in November 2005, is a comprehensive exploration of Clifford analysis, a mathematical field that has evolved since around 1970. This edition spans 251 pages and is presented in English, offering insights into the properties of regular and generalized regular functions in both real and complex contexts. The book delves into significant developments related to the incommutativity of multiplication in Clifford algebra, as well as the definitions and computations of high-order singular integrals and boundary value problems.
Readers will find a thorough examination of harmonic functions and boundary value problems, particularly in the context of the four characteristic fields proposed by Luogeng Hua for complex analysis of several variables. The content largely stems from the author’s own research, making it a valuable resource for those engaged in the study of mathematical analysis, differential equations, and complex analysis. This monograph aims to provide a detailed understanding of the theoretical aspects and applications of Clifford analysis, catering to researchers and scholars in the field.
Official synopsis Publisher
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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