Series with respect to a system of characters of a zero-dimensional compact Abelian group are considered. A generalization of an analogue of Dini test and its corollary obtained earlier for systems determined by bounded sequences {p_k} are proved.

中文翻译：

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在无界pk情况下关于Vilenkin系统的Fourier级数的一些收敛性检验

考虑关于零维紧凑阿贝尔群的字符系统的级数。证明了对由有界序列{ p _k }确定的系统较早获得的Dini测试类似物的普遍性及其推论。