In this paper,by the method of global analysis,the authors give a new global integral transformation formula and obtain the Plemelj formula with Hadamard principal value of higher-order partial derivatives for the int...In this paper,by the method of global analysis,the authors give a new global integral transformation formula and obtain the Plemelj formula with Hadamard principal value of higher-order partial derivatives for the integral of Bochner-Martinelli type on a closed piecewise smooth orientable manifold Cn.Moreover,the authors obtain the composition formula,Poincar'e-Bertrand extended formula of the corresponding singular integral.As the application of some results,the authors also study a higher-order Cauchy boundary problem and a regularization problem of higher-order linear complex differential singular integral equation with variable coefficients.展开更多
基金supported by National Natural Science Foundation of China (Grant No.10771174)the Natural Science Foundation of Fujian Province of China (Grant No.S0850026)
文摘In this paper,by the method of global analysis,the authors give a new global integral transformation formula and obtain the Plemelj formula with Hadamard principal value of higher-order partial derivatives for the integral of Bochner-Martinelli type on a closed piecewise smooth orientable manifold Cn.Moreover,the authors obtain the composition formula,Poincar'e-Bertrand extended formula of the corresponding singular integral.As the application of some results,the authors also study a higher-order Cauchy boundary problem and a regularization problem of higher-order linear complex differential singular integral equation with variable coefficients.
