Plurisubharmonic functions and their singularities
Plurisubharmonic functions and their singularities
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多次谐波函数及其奇点
DOI：
10.1007/978-94-011-0934-5_7
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发表时间：
1994
期刊：
影响因子：
--
通讯作者：
C. Kiselman
中科院分区：
文献类型：
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作者：
C. Kiselman
这些讲座的主题是当地和全球性质的pluisubharmonic功能。讨论了定义凸函数、次调和函数和多重次调和函数的一阶微分不等式。证明了在一定条件下，多重次调和函数的边缘函数是多重次调和函数。利用凸性理论的方法研究了多重次调和函数的奇异性。然后在最后一章中，我们将有限阶整函数的阶和型的经典概念推广到任意快速增长的函数。
The theme of these lectures is local and global properties of plurisubharmonic functions. First differential inequalities defining convex, subharmonic and plurisubharmonic functions are discussed. It is proved that the marginal function of a plurisubharmonic function is plurisubharmonic under certain hypotheses. We study the singularities of plurisubharmonic functions using methods from convexity theory. Then in the final chapter we generalize the classical notions of order and type of an entire function of finite order to functions of arbitrarily fast growth.