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旋量值函数的Bochner-Martinelli型公式

Bochner-Martinelli Type Formulae for Spinor-Valued Functions
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摘要 对比多复变中的Bochner-Martinelli公式,本文给出了艾米尔特Clifford分析中旋量值函数的Bochner-Martinelli型公式,由此得到一些特殊情形的再生Bochner-Martinelli型的Pompeiu公式及Bochner-Martinelli公式. In this paper, in comparison with the Bochner-Martinelli fomulae in sev- eral complex analysis, we show the Bochner-Martinelli type formulae for spinor-valued functions in Hermite Clifford analysis and get some reproducing Pompeiu formulae of Bochner MartineUi type and Bochner-Martinelli formula in some special cases.
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2013年第6期829-840,共12页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金资助项目(11001273 11171260)
关键词 旋量值函数 Bochner-Martinelli型公式 Pompeiu公式 spinor-valued ruction Bochner-Martinelli type formula Pompeiu formula
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  • 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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