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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2016, Volume 16, Issue 1, Pages 76–79
DOI: https://doi.org/10.18500/1816-9791-2016-16-1-76-79 (Mi isu622) 		 
Mathematics

On the existence of continual closed $U$-set

I. S. Yurchenko

Saratov State University, 83, Astrakhanskaya st., Saratov, Russia, 410012
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DOI: https://doi.org/10.18500/1816-9791-2016-16-1-76-79
Abstract: In this work we consider a system of characters of the Vilrnkin group $G$ and study uniqueness sets for series for system of character of Vilenkin group (in other words, $U$-sets). We prove a sufficient condition for the $U$-set on the Vilenkin group and constructed continual closed $U$-set on the Vilenkin group.
Key words: $U$-set, continual closed set, Vilenkin group.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00102_а
This work was supported by the Russian Foundation for Basic Research (projects no. 13-01-00102).
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: I. S. Yurchenko, “On the existence of continual closed $U$-set”, Izv. Saratov Univ. Math. Mech. Inform., 16:1 (2016), 76–79
Citation in format AMSBIB
\Bibitem{Yur16}
\by I.~S.~Yurchenko
\paper On the existence of continual closed $U$-set
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2016
\vol 16
\issue 1
\pages 76--79
\mathnet{http://mi.mathnet.ru/isu622}
\crossref{https://doi.org/10.18500/1816-9791-2016-16-1-76-79}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3501505}
\elib{https://elibrary.ru/item.asp?id=25897438}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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