This article is cited in 7 papers

Mathematics

Henstock type integral in compact zero-dimensional metric space and quasi-measures representations

V. A. Skvortsov^a, F. Tulone<sup>b

a</sup> Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b Department of Mathematics and Computer Science of the University of Palermo, Italy

Abstract: Properties of a Henstock type integral defined on a compact zero-dimensional metric space are studied. Theorems on integral representation of the so-called quasi-measures, i.e., linear functionals on the space of “polynomials” defined on the space of the above mentioned type are obtained.

Key words: Henstock–Kurzweil integral, zero-dimensional metric space, derivation basis, quasi-measure, integral representation of linear functionals.

UDC: 517.518.43

Received: 09.02.2011

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2012, 67:2, 55–60

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