Properties Of Fourier Transformation Analytic Function Of Several Variables

In this paper, based on the conclusion of Fourier analysis, we generalize some of these theorems, which is about analytic function of Fourier transformation. And we reached an even general conclusion.In chapter one, we mainly review the happening and developing of Fourier transformation and Fourier series, and we introduce the history of Fourier analysis developing.In chapter two we simply introduce the definition of Fourier series, Fourier transform and so on, which can be used later in this paper.In chapter three, we give some properties and basic conclusions about Fourier transformation analytic function with one variable. And we prepare for the proof of chapter four.In chapter four, based on the existing several theorems about the analytic function of Fourier transforms in Fourier analysis. We generalize some of these theorems, and educe a more general conclusion.