In this paper, the pointwiseconvergence and divergence of a class of generalized Fourier series generated by piecewise linear spectral sequences are studied.
研究由分段线性谱序列生成的广义傅里叶级数的逐点敛散性。
2
A convergence theorem of the transforms is proved, and then, as an application of it, the pointwiseconvergence of complex measure martingales is discussed in a precise way.