| Stein流形上的奇异积分方程 |
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| 引用本文： | 钟同德.Stein流形上的奇异积分方程[J].厦门大学学报(自然科学版),1991,30(3):231-234. |
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| 作者姓名： | 钟同德 |
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| 作者单位： | 厦门大学数学系 |
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| 摘 要： | 文中对积分密度加上适当条件后,应用Stein流形M上具B-M核的B-M型积分的Plemelj公式得到具B-M核的奇异积分的合成公式,应用它讨论了定义在一相对紧区域D的边界上的一类常系数线性奇异积分方程的解。
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| 关 键 词： | Stein流形 奇异积分方程 常系数 |
Singular Integral Equations on Stein Manifolds |
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| Zhong Tongde.Singular Integral Equations on Stein Manifolds[J].Journal of Xiamen University(Natural Science),1991,30(3):231-234. |
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| Authors: | Zhong Tongde |
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| Institution: | Dept. of Math. |
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| Abstract: | Let M be a Stein manifold, by ussing Plemelj formula of the B-M type integral, under suitable condition of density, the composite formula of singular integral with B-M kernel is obtained, utilizing this formula the solution of a class of linear singular integral equations with constant coefficients which define on the boundary of a relative com-pact domain D on M is discussed. |
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| Keywords: | Stein manifods Bochner-Msrtinelli kernel Composite formula Singular integral equations |
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