紧李群上的富立叶变换  

Fourier Transform on Function Spaces of Compact Lie Group

作　　者：董道珍[1] 

机构地区：[1]河南大学数学系

出　　处：《河南大学学报（自然科学版）》1998年第2期15-22,共8页Journal of Henan University:Natural Science

基　　金：国家自然科学基金

摘　　要：在紧致李群Ｇ的第二标准坐标系的基础上，给出了紧李群上富立叶变换定义，研究了它的性质。In this paper,we studied the Fourier transform of a function in L1(G),where G is a compact Lie group.First of all,we studied the second standard coordinate system of compact Lie group in a deeply going way.Then,we gave the definition of Fourier transform,and studied a series of its properties.We obtained the solutions about Fourier inversion problem.

关 键 词：紧李群 富立叶变换 群的第二标准坐标系 

分 类 号：O174.2[理学—数学]