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Perron type integral on compact zero-dimensional Abelian groups

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Abstract

Perron and Henstock type integrals defined directly on a compact zero-dimensional Abelian group are studied. It is proved that the considered Perron type integral defined by continuous majorants and minorants is equivalent to the integral defined in the same way, but without assumption on continuity of majorants and minorants.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119899, Russia

    V. A. Skvortsov & F. Tulone

Authors
  1. V. A. Skvortsov
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  2. F. Tulone
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Additional information

Original Russian Text © V.A. Skvortsov, F. Tulone, 2008, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2008, Vol. 63, No. 3, pp. 37–42.

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Skvortsov, V.A., Tulone, F. Perron type integral on compact zero-dimensional Abelian groups. Moscow Univ. Math. Bull. 63, 119–124 (2008). https://doi.org/10.3103/S002713220803008X

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  • DOI: https://doi.org/10.3103/S002713220803008X

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