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SOME PROBLEMS FOR SIX KIND QUASI-BOCHNER-MARTINELLI-TYPE HIGH ORDER SINGULAR INTEGRALS IN THE REAL CLIFFORD ANALYSIS
实Clifford分析中六类拟Bochner-Martinelli型高阶奇异积分的几个问题

Keywords: Keywords: Clifford analysis,high order singular integrals,Poincare-Bertrand permuta-tion formula,Hadamard principal value,differential method
实Clifford分析
,高阶奇异积分,Poincaré-Bertrand置换公式,Hadamard主值,微分公式.

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Abstract:

Abstract By using the Hadamard's idea for principal value of high order singular inte-grals, we study induction definition, existence of Hadamard principal value, recurrence formula,computational and differential method, Poincare-Bertrand permutation formula, and Holdercontinuity for six kind quasi Bochner-Martinelli type high order singular integrals in real Clif-ford analysis. All these problems are concerned by researchers during study singular integralsin multivariate complex analysis.

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