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RIEMANN BOUNDARY VALUE PROBLEMS FOR SOME K-REGULAR FUNCTIONS IN CLIFFORD ANALYSIS 被引量：3

RIEMANN BOUNDARY VALUE PROBLEMS FOR SOME K-REGULAR FUNCTIONS IN CLIFFORD ANALYSIS
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摘要 In this paper,we study the R m（m〉0） Riemann boundary value problems for regular functions,harmonic functions and bi-harmonic functions with values in a universal clifford algebra C（Vn,n）.By using Plemelj formula,we get the solutions of R m（m〉0） Riemann boundary value problems for regular functions.Then transforming the Riemann boundary value problems for harmonic functions and bi-harmonic functions into the Riemann boundary value problems for regular functions,we obtain the solutions of R m（m〉0） Riemann boundary value problems for harmonic functions and bi-harmonic functions. In this paper,we study the R m（m〉0） Riemann boundary value problems for regular functions,harmonic functions and bi-harmonic functions with values in a universal clifford algebra C（Vn,n）.By using Plemelj formula,we get the solutions of R m（m〉0） Riemann boundary value problems for regular functions.Then transforming the Riemann boundary value problems for harmonic functions and bi-harmonic functions into the Riemann boundary value problems for regular functions,we obtain the solutions of R m（m〉0） Riemann boundary value problems for harmonic functions and bi-harmonic functions.
作者 姜乐 杜金元
机构地区 School of Mathematics and Statistics
出处 《Acta Mathematica Scientia》 SCIE CSCD 2012年第5期2029-2049,共21页 数学物理学报（B辑英文版）
基金 Supported by NSF of China (11171260) RFDP of Higher Eduction of China (20100141110054)
关键词 Riemann boundary value problem harmonic function bi-harmonic function Plemelj formula Riemann boundary value problem； harmonic function； bi-harmonic function； Plemelj formula
分类号 O186.12 [理学—基础数学]
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参考文献16

  • 1Bernstein S. On the left linear Riemann problem in Clifford analysis. Bull Belg Math Soc, 1996, 3:557 576.
  • 2Xu Zhengyuan. Riemann boundary value problems for regular functions on Clifford algebra. Chinese Science Bulltin, 1987, 32(23): 476-477.
  • 3Zhang Zhongxiang, Du Jinyuan. On certain Riemann boundary value problems and singular integral equations in Clifford analysis. Chinese Ann Math, 2001, 22A(4): 421-426.
  • 4Lu Jianke. Boundary Value Problems for Analytic Fnctions. Singapore: World Sci Publ, 1993.
  • 5Muskhelishvili N I. Singular Integral Equations. Moscow: Nauka, 1968.
  • 6Gurlebeck K, Zhang Zhongxiang. Some Riemann boundary value problems in Clifford analysis. Math Meth Appl Sci, 2010, 33:287-302.
  • 7Zhang Zhongxiang. Some properties of operators in Clifford analysis. Complex Var, Elliptic Eq, 2007, 6(52): 455-473.
  • 8Zhang Zhongxiang. A revised higher order Cauchy-pompeiu formula in Clifford analysis and its application. J Appl Funct Anal, 2004, 2(3): 269-278.
  • 9Brack F, Delanghe R, Sommen F. Clifford Analysis. London: Pitman Books Ltd, 1982.
  • 10Delanghe R, Sommen F, Soudek V. Clifford Algebra and Spinor-Valued Functions. London: Kluwer Academic publishers, 1992.

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Acta Mathematica Scientia
2012年 第5期

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