Advances in Complex Analysis and Its Applications

Real and Complex Clifford Analysis

Authors: Huang, Sha, Qiao, Yu Ying, Wen, Guochun

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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.

Audience

This book is intended for mathematicians studying function theory.

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)


Table of contents (1 chapters)

  • General Regular and Harmonic Functions in Real and Complex Clifford Analysis

    Pages 1-40

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-0-387-24536-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-0-387-24535-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-1-4899-8655-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Real and Complex Clifford Analysis
Authors
Series Title
Advances in Complex Analysis and Its Applications
Series Volume
5
Copyright
2006
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-0-387-24536-2
DOI
10.1007/b105856
Hardcover ISBN
978-0-387-24535-5
Softcover ISBN
978-1-4899-8655-9
Edition Number
1
Number of Pages
X, 251
Topics