基于L^2(R^2)直和分解的两个点收敛定理(英文)  

Two pointwise convergence theorems corresponding to two direct sum decompositions of L^2(R^2)

作　　者：李珊珊 周武[1] 

机构地区：[1]西南民族大学计算机科学与技术学院,四川成都610041

出　　处：《西南民族大学学报（自然科学版）》2010年第4期531-534,共4页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：Shanshan Li is supported by the Foundation of Southwest University for Nationalities(Grant No.08NQN006)

摘　　要：根据经典Fourier分析中L2(R2)的直和分解,作者最近得到了一个与Mbius变换和信号分析相关的直和分解.本文将进一步研究L2(R2)的这两个直和分解并且得到了两个基于L2(R2)直和分解的两个点收敛定理.Based on the classical results of the direct sum decomposition of L^2（R^2） in Fourier analysis, recently obtained a variation of this decomposition was considered and studied, which is related to the Mobius transform and signal analysis. In current paper, these two decompositions of L^2（R^2） are further studied and two corresponding pointwise convergence theorems are proved.

关 键 词：FOURIER变换 Mbius变换 点收敛 Fourier变换下的子空间不变性 

分 类 号：O174.22[理学—数学]