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陈叔瑾 《数学物理学报(A辑)》1995,(4)
借助于丛上的连络,我们构造在坐标变换下不变的整体积分核,并获得(P,q)-型微分形式的整体Leray-Norguet公式 相似文献
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TheKoppelman-LerayFormulaandItsApplicationonComplexSubmanifoldChenShujin(陈叔瑾)(DepartmentofMathematics,XiamenUniversity,Xiamen... 相似文献
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In this paper, we give the Silov boundary for an analytic family on a bounded strictly pseudoconvex domain or an analytic polyhedron in Cn, and get a necessary and sufficient condition for a generalized Dirichlet problem to be solvable for an analytic family on a bounded holomorphic domain. Especially, we derive that this condition is just that the continuous real boundary value is prescribed on and only on the Silov boundary for an analytic family on a bounded strictly pseudoconvex domain or an analytic polyhedron. 相似文献
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关于C~n中凸域上解析函数的积分表示 总被引:3,自引:0,他引:3
<正> 本文目的是建立C~n中凸域D={z|Φ(z)<0}上解析函数f(z)的一类积分表示 相似文献
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陈叔瑾 《数学物理学报(A辑)》2020,(6):1492-1510
该文研究在Stein流形的解析簇上如何建立微分形式的积分公式.首先,使用不同的方法和技巧我们导出在Stein流形的两类有界域中对于复n-m(0≤m 相似文献
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陈叔瑾 《数学物理学报(B辑英文版)》1998,(4)
1IntroductionWeknowthateverysttrictlyconvexdomainwithC*-boundaryisastrictlypseudoconvexdomainwithCk-boundary,wherek21.AfteranappropriatelOcalchangeofholomorphiccoordinates,theconverseisalsotrue.LetDCC"beastrictlypseudoconvexdomainwithCdboundary.MorepreciselyD={z6Cn:p(z)<0},wherepisaCdrealvaluedstrictlyplurisubharmonicfunctiononaneighborhoodreofD,andgradpfoonaD.SupposeFI,'')Fmareholomorphicfunctionsonre,setWeassumez(FI,'',Fm)meetsODtransversally.SetD=Z(FI,''tFm)nD.Let(EOD,thenf… 相似文献