J4 ›› 2011, Vol. 49 ›› Issue (01): 61-65.

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Transformation Formula of Singular Integrals in Clifford Analysis

XIE Yonghong1, YANG Heju1,2   

  1. 1. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China;2. Department of Mathematics, College of Science, Hebei University of Science and Technology, Shijiazhuang 050018, China
  • Received:2009-11-16 Online:2011-01-26 Published:2011-02-19
  • Contact: XIE Yonghong E-mail:xyh1973@126.com

Abstract:

The transformation formula of the common integrals on Liapunov closed surface in Clifford analysis was proved, on the basis of which, the transformation formula of Cauchy singular integrals with a singular point was proved by mathematical analysis.

Key words:  Clifford analysis, Cauchy principal value, integral of Hlder continuous functions, singular integral, transformation formula

CLC Number: 

  • O177.4