本文研究经典三分Cantor集C上的平方可积空间L2(C,μ).利用投影算子的相关结论,证明了此空间上存在一组Haar型规范正交基,进而分析了L2(C,μ)中任意元素关于此基的Fourier/Haar展开,并讨论了任意元素关于此级数展开的相关收敛性.
In this paper, we discuss the ties of projection,we show that there is a function space L2(C,μ). Applying to the proper Haar basis in L2(C,μ), and discuss some conver gence with respect to the basis.