Acta mathematica scientia,Series B ›› 2003, Vol. 23 ›› Issue (1): 95-103.

• Articles • Previous Articles     Next Articles

ON CAUCHY-POMPEIU FORMULA FOR FUNCTIONS WITH VALUES IN A UNIVERSAL CLIFFORD ALGEBRA

 Heinrich Begehr, ZHANG Zhong-Xiang, DU Jin-Yuan   

  1. 1.I.Mathematical Institute, Free University, Berlin 14195, Germany
    2.Department of Mathematics, Wuhan University, Wuhan 430072, China
    3.Department of Mathematics, Hubei Institute for Nationalities, Enshi 445000, China
  • Online:2003-01-06 Published:2003-01-06
  • Supported by:

    Project supported by RFDP of Higher Education and NNSF of China, SF of Wuhan University.

Abstract:

This paper obtains the Cauchy-Pompeiu formula on certain distinguished boundary for functions with values in a universal Clifford algebra. This formula is just anextension of the Cauchy’s integral formula obtained in [11].

Key words: Universal Clifford algebra, Cauchy-Pompeiu formula

CLC Number: 

  • 35C10
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