Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 2, Pages 11–17 (Mi vmumm472)  
This article is cited in 7 scientific papers (total in 7 papers)

Mathematics

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

V. A. Skvortsova, F. Tuloneb

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Department of Mathematics and Computer Science of the University of Palermo, Italy
Full-text PDF (232 kB) Citations (7)
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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.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00321
Ministry of Education and Science of the Russian Federation НШ-979.2012.1
University of Bydgoszcz
Received: 09.02.2011
English version:
Moscow University Mathematics Bulletin, 2012, Volume 67, Issue 2, Pages 55–60
DOI: https://doi.org/10.3103/S0027132212020039
Bibliographic databases:
Document Type: Article
UDC: 517.518.43
Language: Russian
Citation: V. A. Skvortsov, F. Tulone, “Henstock type integral in compact zero-dimensional metric space and quasi-measures representations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 2, 11–17; Moscow University Mathematics Bulletin, 67:2 (2012), 55–60
Citation in format AMSBIB
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\by V.~A.~Skvortsov, F.~Tulone
\paper Henstock type integral in compact zero-dimensional metric space and quasi-measures representations
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2012
\issue 2
\pages 11--17
\mathnet{http://mi.mathnet.ru/vmumm472}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2012
\vol 67
\issue 2
\pages 55--60
\crossref{https://doi.org/10.3103/S0027132212020039}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84870313910}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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