Fejer定理的一种多元推广  

A Higher Dimensional Generalization of Fejér's Theorem

作　　者：吴肇基[1] 

机构地区：[1]苏州职业大学,苏州215011

出　　处：《铁道师院学报》1998年第4期33-37,共5页Journal of Suzhou Railway Teachers College(Natural Science Edition)

摘　　要：将一元傅立叶分析中关于傅氏级数及其共轭级数之间的收敛性关系的Ｆｅｊｅｒ定理推广到多元情形。主要结果为定理：若函数ｆ∈Ｌ（Ｅｋ）（ｋ≥２）的傅氏积分的球形平均σＲ（ｆ；ｘ）在域Ｄ内一致收敛，则它的共轭傅氏积分的球形平均σ↑￣Ｒ（ｆ；ｘ）在其（Ｃ，１）可和点处一定收敛。In one-dimensional Fourier Analysis there are some results about the connection between convergence of Fourier series and that of its conjugate series such as Fejér's theorem and Kuttner's theorem.In this paper we discuss one of the higher dimensional analogues.

关 键 词：Fejer定理 傅里叶分析 傅里叶级数 共轭级数 

分 类 号：O174.2[理学—数学]