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ON BOUNDARY BEHAVIOR OF THE CAUCHY TYPE INTEGRAL IN HYPERCOMPLEX ANALYSIS
Du Jinyuan * #
Department of Mathematics, Wuhan University
*Correspondence author
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Funding: none
Opened online: 4 May 2010
Accepted by: none
Citation: Du Jinyuan.ON BOUNDARY BEHAVIOR OF THE CAUCHY TYPE INTEGRAL IN HYPERCOMPLEX ANALYSIS[OL]. [ 4 May 2010] http://en.paper.edu.cn/en_releasepaper/content/42553
 
 
We survey the researches of the boundary behavior for the Cauchy type integrals defined on a smooth closed surface in the Euclidean space with values on the Clifford algebra, or defined on the distinguished boundary of the direct product of two domains with values on the universal Clifford algebra, which includes Sochocki-Plemelj formulae and Privalov-Muskhelishvili theorems, Poincare-Bertrand formulae. Then some boundary value problems and singular integral equation in Clifford analysis are introduced.
Keywords:Sochocki-Plemelj formula;Privalov-Muskhelishvili theorem;Riemann boundary value problem;Singular integral equation
 
 
 

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