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Abstract

For any nondecreasing function h(t), given on the positive semiaxis and tending to zero as t → 0, we construct an example of a perfect M-set for a Walsh system, having a zero h-measure.

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Literature cited

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Translated from Matematicheskie Zametki, Vol. 21, No. 3, pp. 335–340, March, 1977.

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Skvortsov, V.A. The h-measure of M-sets for a Walsh system. Mathematical Notes of the Academy of Sciences of the USSR 21, 186–189 (1977). https://doi.org/10.1007/BF01106742

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  • DOI: https://doi.org/10.1007/BF01106742

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