论文标题
部门的佩奇定理
Sectorial Paley-Wiener Theorem
论文作者
论文摘要
通过校正，简化和扩展Morimoto的结果，我们证明了一种扇形中指数类型功能的paley-fiener型定理。它是Polya定理在整个功能指标上的部门类似物，并通过在一个部门内部找到最大的分析延续集来改善Dzhrbashyan和Avetisyan的结果。
By correcting, simplifying and extending a result of Morimoto, we prove a Paley-Wiener type theorem for functions of exponential type in a sector. It serves as a sectorial analogue of Polya's theorem on the indicator of entire functions and improves a result of Dzhrbashyan and Avetisyan by finding the maximal convex set of analytic continuation inside a sector.
