| 高阶奇异积分的Hadamard主值 |
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| 引用本文： | 钱涛,钟同德.高阶奇异积分的Hadamard主值[J].数学年刊A辑(中文版),2002(2). |
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| 作者姓名： | 钱涛 钟同德 |
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| 作者单位： | 澳门大学科技学院，厦门大学数学研究所 ３００１信箱，澳门，福建 厦门 ３６１００５ |
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| 基金项目： | 1998年澳大利亚双边科技合作计划，中国国家自然科学基金(No．19771068)资助项目 |
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| 摘 要： | 应用Ｅｕｌｅｒ径向微分算子:Ｄ＝ｚｌ＋…＋ｚｎ研究复ｎ维超球面Ｂ＝{ζ∈Ｃｎ|ζ＝(ζ１,…,ζｎ),|ζ１|２＋…＋|ζｎ|２＝１}上两类高阶奇异积分的Ｈａｄａｍａｒｄ主值．本文得到置换和合成公式并讨论了它们的拓广以及在偏微分奇异积分方程上的应用．
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| 关 键 词： | 复超球面 Cauchy积分 高阶奇异积分 Hadamard主值 置换公式 |
HADAMARD PRINCIPAL VALUE OF HIGHER ORDER SINGULAR INTEGRALS |
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| QIAN Tao ZHONG TongdeFaculty of Science and Technology,The University of Macau,P. O. Box ,Macau.HADAMARD PRINCIPAL VALUE OF HIGHER ORDER SINGULAR INTEGRALS[J].Chinese Annals of Mathematics,2002(2). |
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| Authors: | QIAN Tao ZHONG TongdeFaculty of Science and Technology The University of Macau P O Box Macau |
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| Institution: | Via Hong Kong |
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| Abstract: | Using Euler radial differential operator: D = z1 + + zn the Hadamard princi-pal values of the two kinds of higher order divergent integrals on the complex n-hypersphere+ | n|2 =1} are studied. The authors ob-B =tain the transformation and composite formulas in the setting and disscuss generalizations.Applications to partial differential singular integral equations are discussed. |
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| Keywords: | Complex hyperspere Cauchy integral Higher order singular integral Hadamard principal value |
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