The several transformation formula in several complex variables and its applications |
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Authors: | YuSheng Huang LiangYu Lin |
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Institution: | 1. Department of Mathematics, Putian College, Putian, 351100, China 2. School of Mathematical Sciences, Xiamen University, Xiaman, 361005, China
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Abstract: | 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 C n . Moreover, the authors obtain the composition formula, Poincaré-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. |
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