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Real and Complex Clifford Analysis: Advances in Complex Analysis and Its Applications, cartea 5

Autor Sha Huang, Yu Ying Qiao, Guo Chun Wen
en Limba Engleză Paperback – 28 oct 2014
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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Specificații

ISBN-13: 9781489986559
ISBN-10: 1489986553
Pagini: 264
Ilustrații: X, 251 p.
Dimensiuni: 155 x 235 x 14 mm
Greutate: 0.37 kg
Ediția:2006
Editura: Springer Us
Colecția Springer
Seria Advances in Complex Analysis and Its Applications

Locul publicării:New York, NY, United States

Public țintă

Research

Cuprins

General Regular and Harmonic Functions in Real and Complex Clifford Analysis.- Boundary Value Problems of Generalized Regular Functions and Hyperbolic Harmonic Functions in Real Clifford Analysis.- Nonlinear Boundary Value Problems for Generalized Biregular Functions in Real Clifford Analysis.- Boundary Value Problems of Second Order Partial Differential Equations for Classical Domains in Real Clifford Analysis.- Integrals Dependent on Parameters and Singular Integral Equations in Real Clifford Analysis.- Several Kinds of High Order Singular Integrals and Differential Integral Equations in Real Clifford Analysis.- Relation Between Clifford Analysis And Elliptic Equations.

Recenzii

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)

Textul de pe ultima copertă

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.

Caracteristici

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