复指数Dirichlet级数表示的解析函数

Analytic Function Represented by Dirichlet Series of Complex Exponents

中文关键词:  解析整函数  Dirichlet级数  有界性

英文关键词:analytic function  Dirichlet series  boundedness.

中文摘要:

      本文对一个在角形区域由复指数Dirichlet级数表示且在一固定水平带形有界解析不恒为零的函数的存在性,给出了充分必要条件.

英文摘要:

      A necessary and sufficient condition is given for the existence of an analytic function which is analytic in an angular region, not identically zero, bounded in a horizontal strip and represented by Dirichlet series of complex exponents.