数学物理学报(英文版) ›› 2003, Vol. 23 ›› Issue (1): 95-103.

• 论文 • 上一篇    下一篇

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

 Heinrich Begehr, 张忠祥, 杜金元   

  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
  • 出版日期:2003-01-06 发布日期:2003-01-06
  • 基金资助:

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

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.

摘要:

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].

关键词: Universal Clifford algebra, Cauchy-Pompeiu formula

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

中图分类号: 

  • 35C10