Analogue of Hardy-Littlewood Test for Fourier Series over Vilenkin System in the Case of Unbounded pkстатья
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Аннотация:Series with respect to a system of characters of a zero-dimensional compact commutative groupare considered. A generalization of an analogue of Hardy-Littlewood test and its consequences,which were earlier obtained in the case of bounded sequence {p_k} defining the system, are proved/The reported study was funded by RFBR, project №20—01—00584.