Vanishing theorem for holomorphic functions of exponential type and Laplace hyperfunctions (Recent development of micro-local analysis for the theory of asymptotic analysis)
Vanishing theorem for holomorphic functions of exponential type and Laplace hyperfunctions (Recent development of micro-local analysis for the theory of asymptotic analysis)
复制标题
指数型全纯函数和拉普拉斯超函数的消失定理（渐近分析理论的微局部分析的最新发展）
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
K. Umeta
中科院分区：
文献类型：
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作者：
K. Umeta
本文由两部分组成。第一部分是关于在[1]中给定无穷远处幂等增长全纯函数的伪凸开子集上同调群的消失定理的结果。在第二部分中，我们证明了指数型局部可积函数系是拉普拉斯超函数系的一个子系。§
This paper consists of two part. The first part is the result concerning a vanishing theorem of cohomology groups on a pseudoconvex open subset for holomorphic functions with expo‐ nential growth at infinity given in [1]. In the second part, we show that the sheaf of locally integrable functions of exponential type is a subsheaf of the sheaf of Laplace hyperfunctions. §