傅里叶变换及其应用

The Fourier Transform and Its Application

摘要: 傅立叶变换不仅是一个非常重要的积分变换，而且是一种重要的数学方法。在数学领域的许多分支，傅里叶变换都起着非常重要的应用，如偏微分方程、概率、复变函数与数学分析。本文首先简单介绍了傅里叶变换的概念及其基本性质，然后给出了它在偏微分方程中的一些应用。

Abstract: Fourier transformation is not only a very important integral transformation, but also is an impor-tant mathematics method. In many branches of Mathematics, Fourier transformation plays an important role, such as partial differential equations, probability, complex variable functions and mathematical analysis. Firstly, this paper simply introduces the concept of Fourier transform and its basic nature, whereafter the author introduces its application in partial differential equation.