本文主要介绍了��空间上的 Fourier 变换。本文第一章简要介绍了 Fourier 变换的历史，第二章主要罗列了一些讨论Fourier变换所需要的预备知识，第三章开始介绍 Fourier 变换。本文着重总结了�1空间中 Fourier 变换的相关知识，包括Fourier 变换的定义，Fourier 变换的反演公式以及卷积的 Fourier 变换等。第四章主要介绍了�2空间上 Fourier变换的相关知识，与第三章中内容大体相对应，�1空间上 Fourier 变换的性质同�2空间上 Fourier 变换的性质有类同也有差异。第五章简要介绍了当1 < � < 2时��空间中 Fourier 变换的定义及相关定理。第六章举了几个有关 Fourier变换的例子。59577
毕业论文关键词    Fourier 变换   反演公式  卷积   
Title    The Fourier transforms on �1                   
Abstract This article mainly introduces the Fourier transform on �� . The first chapter briefly introduces the history of Fourier transforms. The second chapter lists some preparatory knowledge  which was  required to  discuss the Fourier transforms. The third chapter  starts to  introduce Fourier transform. This paper summarizes the related knowledge  of  Fourier transform  on �1,  including  the definition of Fourier transform, inversion formula of the Fourier transforms, Fourier transform of convolution and etc.  The fourth chapter introduces the related knowledge of Fourier transformation  on �2, and the  content is  corresponding  to  the third chapter generally. There are similarities and differences between the properties of the    Fourier transform  on �1  and  the properties of the   Fourier transform on the properties of the   Fourier transform on .  The fifth chapter  briefly introduces the definition and the related theorem of Fourier transform  on  �� .There are several examples about Fourier transforms in the sixth chapter.   
Keywords    Fourier  transforms      inversion of the Fourier transforms     convolution 

目次

1引言.1

2预备知识.1

3 Lp空间上的Fourier变换:http://www.751com.cn/shuxue/lunwen_64839.html