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1·In this paper, the pointwise convergence 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 pointwise convergence of complex measure martingales is discussed in a precise way.

并且，作为该定理的一个应用，对复测度鞅的点态收敛性作了较精细的讨论。