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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2009, Volume 9, Issue 1, Pages 14–19
DOI: https://doi.org/10.18500/1816-9791-2009-9-1-14-19
(Mi isu28)
 

This article is cited in 10 scientific papers (total in 10 papers)

Mathematics

Haar series on compact zero-dimensional abelian group

S. F. Lukomskii

Saratov State University named after N. G. Chernyshevsky
References:
Abstract: In this article we construct a Haar system on compact zero-dimensional abelian group as shifts and powers of some characters system. We find conditions under which a Fourier–Haar series of continuous function converge uniformly. We find groups for which Haar functions generated from one function by the operation of shifts, powers and dilations.
Key words: compact zero-dimensional abelian group, Haar system, shifts, dilations, $p$-adic numbers.
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: S. F. Lukomskii, “Haar series on compact zero-dimensional abelian group”, Izv. Saratov Univ. Math. Mech. Inform., 9:1 (2009), 14–19
Citation in format AMSBIB
\Bibitem{Luk09}
\by S.~F.~Lukomskii
\paper Haar series on compact zero-dimensional abelian group
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2009
\vol 9
\issue 1
\pages 14--19
\mathnet{http://mi.mathnet.ru/isu28}
\crossref{https://doi.org/10.18500/1816-9791-2009-9-1-14-19}
\elib{https://elibrary.ru/item.asp?id=11903496}
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  • https://www.mathnet.ru/eng/isu/v9/i1/p14
  • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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    Full-text PDF :184
    References:77
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