中文摘要：

框架这一概念是在研究非调和Fourier级数时提出来的,目前已经在众多领域里取得重要应用,因此研究各种具体形式的框架具有重要意义.本文主要研究空间L^2[0,1]的分段线性谱框架,即L^2[0,1]中的指数型函数列构成的框架.给出一类分段线性谱框架并讨论当θ≠1/2时,分段线性函数gn（t）成为谱框架的必要条件.

英文摘要：

The concept of frames was introduced when studying non-harmonic Fourier series,and now has obtained important applications in many fields,so it is significant to study various concrete frames.In this paper,we mainly study piecewise linear spectral frames in L^2[0,1],that is,the frames formed by exponential function sequences in L^2[0,1].We give out a class of piecewise linear spectral frames,and discuss the necessary conditions for piecewise linear functions gn（t）to be spectral frames whenθ≠1/2.