关于分段线性谱序列的研究

On Piecewise Linear Spectral Sequences

本文研究L2[0,1]上的分段线性谱序列.讨论当节点θ≠1/2时,分段线性函数gn(t)成为谱序列的必要条件.我们研究一次项系数an=cn的情况,然后对于更一般的an,cn∈R情况,给出系数具有的特征.

In this paper, we consider piecewise linear spectral sequences in L^2[0,1]. We obtain,when θ = 1/2, necessary conditions for piecewise linear functions to be spectral sequences. We study the an = cn case. Moreover,for more general case when an ,cn ∈ R, we show some properties.