dc.contributor.author 姚宗元 dc.date.accessioned 2017-11-14T02:51:13Z dc.date.available 2017-11-14T02:51:13Z dc.date.issued 2000-01-26 dc.identifier.citation 系统科学与数学,2000,(01):117-123 dc.identifier.issn 1000-0577 dc.identifier.other STYS200001016 dc.identifier.uri https://dspace.xmu.edu.cn/handle/2288/154844 dc.description.abstract 得到了Ｃｎ空间中具有逐块Ｃ（１）光滑边界的有界域上光滑函数的一个抽象的积分公式．这个公式的特点是积分核中含有一系列向量函数Ｗ（０，Ｋ）（，ｚ），Ｗ（ｉ，ｋ）（，ｚ）及一系列独立的实参数由这个公式，适当选取其中的参数和向量函数Ｗ，就可得到具有这种逐块Ｃ（１）光滑边界的有界域上光滑函数的Ｃａｕｃｈｙ－Ｌｅｒａｙ公式和全纯函数的Ｃａｕｃｈｙ－Ｆａｎｔａｐｐｉｅ公式以及其它一些新的公式． dc.description.abstract An abstract integral formula of smooth functions on bounded domain with piecewise smooth boundary in Cn is obtained, the characteristic property of which is that the integral kernel contains a series of vector functions W(0,k)(s, z), W(i,k)(, z) and a series of independent real parameters μok≥ 0, μik ≥0. mom this formula, when the proper parameter aid and vector function W are chosen, we can obtain Cauchy-Leray formula of smooth functions, Cauchy-Fantappie formula of holomorphic functions and some other new formulas on bounded domain with piecewise C(1) smooth boundary. dc.description.sponsorship 国家自然科学基金 dc.language.iso zh_CN dc.subject Cauchy-Leray公式 dc.subject Cauchy-Fantappie公式 dc.subject 拓广式 dc.subject 有界域 dc.subject 逐块C(1)光滑边界 dc.subject Cauchy-Leray formula, Canchy-Fantappie formula, extended forms, bounded domain. dc.title 关于C~n中具有逐块光滑边界的有界域上C-L公式与C-F公式的拓广式 dc.title.alternative EXTENDED FORMS OF C-L FORMULA AND C-F FORMULA ON BOUNDED DOMAIN WITH PIECEWISE SMOOTH BOUNDARY IN C~n dc.type Article
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