紧李群上的缓变广义函数类

The Class of Tempered Distributions on Compact Lie Group

给出紧李群Ｇ上缓变广义函数的定义，研究它们的一系列性质及其在富立叶分析中的应用，得出了一系列与欧氏空间相平行的结果．

In this paper,we gave the definitions of tempered distributions on compact Lie group,and studied their properties.We gained a series of results,which is parallel with Euclidean spaces.