函数Fourier级数展开式的惟一性

On the uniqueness of the expansion of Fourier series function

证明了以2l为周期的可积函数若可展开成Fourier级数,则按其周期的不同倍数所展得的Fourier级数的形式必是惟一的.

This paper argues for an integral function f（x ） with 2 l period that can be expanded into Fouri- er-Series, and for the uniqueness of the expansion of Fourier-Series of f（x ） on different periods.