Extension of Holomorphic Functions
Extension of Holomorphic Functions
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全纯函数的扩展
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
P. Pflug
中科院分区：
文献类型：
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作者：
M. Jarnicki;P. Pflug
黎曼域-Cn全纯函数上的黎曼域黎曼域的例子黎曼域的全纯扩张黎曼域的边界并，交，Riemann域的正极限存在域极大全纯扩张全纯映射的提升全纯凸Riemann曲面伪凸-多重次调和函数伪凸Kiselman极小值原理d-Levi问题的算子解正则解逼近Remmert嵌入定理Docquier-Grauert准则除法定理全纯映射的谱提升II特殊域的全纯包络-全纯k-管域的单叶包络矩阵Reinhardt域X/M分别全纯函数的扩张亚纯函数的存在域特殊的全纯函数族特殊的域Ohsawa-Takegoshi扩张定理Skoda除法定理Catlin-Hakim-Sibony定理全纯包络的结构.
Riemann domains - Riemann domains over Cn holomorphic functions examples of Riemann regions holomorphic extension of Riemann domains the boundary of a Riemann domain union, intersection, and direct limit of Riemann domains domains of existence maximal holomorphic extensions liftings of holomorphic mappings I holomorphic convexity Riemann surfaces pseudocenvexity - Plurisubharmonic functions pseudoconvexity the Kiselman minimum principle d-operator solution of the Levi problem regular solutions approximation the Remmert embedding theorem the Docquier-Grauert criteria the division theorem spectrum liftings of holomorphic mappings II envelopes of holomorphy for special domains - Univalent envelopes of holomorphy k-tubular domains matrix Reinhardt domains the envelope of holomorphy of X/M separately holomorphic functions extension of meromorphic functions existence domains of special families of holomorphic functions - special domains the Ohsawa-Takegoshi extension theorem the Skoda division theorem the Catlin-Hakim-Sibony theorem structure of envelopes of holomorphy.