Articles

BOUNDARY BEHAVIOR OF CAUCHY-TYPE INTEGRALS IN CLIFFORD ANALYSIS

  • Du Jinyuan ,
  • Xu Na ,
  • Zhang Zhongxiang
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  • Department of Mathematics, Wuhan University, Wuhan 430072, China

Received date: 2006-12-30

  Revised date: 2008-02-10

  Online published: 2009-02-20

Abstract

In this article, the authors discussed the boundary behavior for the Cauchy-
type integrals with values in a Clifford algebra, obtained some Sochocki–Plemelj formulae and Privalov–Muskhelishvili theorems for the Cauchy-type integral taken over a smooth surface by rather simple method.

Cite this article

Du Jinyuan , Xu Na , Zhang Zhongxiang . BOUNDARY BEHAVIOR OF CAUCHY-TYPE INTEGRALS IN CLIFFORD ANALYSIS[J]. Acta mathematica scientia, Series B, 2009 , 29(1) : 210 -224 . DOI: 10.1016/S0252-9602(09)60022-9

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