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BOUNDARY BEHAVIOR OF CAUCHY-TYPE INTEGRALS IN CLIFFORD ANALYSIS 被引量:9

BOUNDARY BEHAVIOR OF CAUCHY-TYPE INTEGRALS IN CLIFFORD ANALYSIS
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摘要 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. 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.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2009年第1期210-224,共15页 数学物理学报(B辑英文版)
基金 Project supported by NNSF of China(10471107) RFDP of Higher Eduction of China(20060486001)
关键词 Clifford algebra Cauchy-type integral Sochocki–Plemelj formula Privalov– Muskhelishvili theorem Clifford algebra Cauchy-type integral Sochocki–Plemelj formula Privalov– Muskhelishvili theorem
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参考文献11

  • 1Yuying Qiao.A boundary value problem for hypermonogenic functions in Clifford analysis[J].Science in China Series A: Mathematics.2005(1)
  • 2Van Lanker P.Clifford Analysis on the Sphere[].Clifford Algebras and Their Applications in Mathematical Physics.1998
  • 3Ryan J.Special functions and relations arising in complex Clifford analysis[].Complex Variables Theory Appl.1983
  • 4Sommen F.Some connections between Clifford analysis and complex analysis[].Complex Variables Theory Appl.1982
  • 5Xu Zhenyuan,Chen Jin.Riemmann–Hilbert Problem for Regular Functions with Values on Clifford Analysis[].Science Bulletin.1987
  • 6G′urlebeck K,Kippig F.Complex Clifford Analysis and Elliptic Boundary Value Problems[].Advance in Applied Clifford Algebra.1995
  • 7Zhang Zhongxiang,Du Jinyuan.On certain Riemann boundary value problems and singular integral equations in Clifford analysis[].Chinese Journal of Contemporary Mathematics.2001
  • 8Gong Yafang,Du Jinyuan.A kind of Riemann and Hilbert boundary value problem for left monogenic function in Rm(m≥2)[].Complex Variables.2004
  • 9Xu Zhenyuan,Chen Jin,Zhang Wanguo.A harmonic conjugate of the Poisson kernal and a boundary value problem for monogenic functions in the unit ball of R m (m≥2)[].Simon Stevin.1990
  • 10Muskhelishvili N I.Singular Integral Equations[]..1968

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