L^2(R^N)中的Fourier变换

Fourier Transform in L^2(R^N)

首先介绍了速降函数空间上Fourier变换的定义及性质,然后由速降函数空间L^2(R^N)中的稠密性将Fourier变换扩张到L^2(R^N)上.

First introduce the definition and properties of Fourier transform on rapidly decreasing functions space.Then by the density of rapidly decreasing functions space in L^2（R^N）,we extend the Fourier transform from rapidly decreasing functions space onto L^2（R^N）.