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。
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。
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