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The Hadamard Principal Value of One Higher Order Singular Integrals with Extensional Bochner-Martinelli Kernel

Author: LiuXiaoMei
Tutor: XuZhongYi
School: Nanchang University
Course: Basic mathematics
Keywords: Extensional Bochner - Martinelli nuclear Higher Order Singular Integral The Hadamard main value Plemelj formula Synthetic formula
CLC: O189.3
Type: Master's thesis
Year: 2006
Downloads: 16
Quote: 0
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Abstract


First of all, the author defines the Higher Order Cauchy type integral in C ~ n closed smooth oriented manifold with Extensional Bochner- Martinelli nuclear Phi ( z ) , and then use integration by parts and Stokes formula , given the odd for the 2n - order Hadamard principal value of the Higher Order Singular Integral Phi ( t ) ; the proved Lemma followed by spherical coordinate transformation method , Phi ( z ) thus obtained Plemelj formula ; § 3 of the phi ( the z ) Plemelj formula obtained a limited part of the Higher Order Singular Integral Phi ( f ) the synthetic formula ; Last synthetic formula through the Higher Order Singular Integral Phi ( t ) also discussed a class of high - order singular integral equations and partial differential and Integral Equations .

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CLC: > Mathematical sciences and chemical > Mathematics > Geometry, topology > Topology ( the situation in geometry ) > Analytic topology
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