For citation:
Yurchenko I. S. On the Existence of Continual Closed U-set. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2016, vol. 16, iss. 1, pp. 76-79. DOI: 10.18500/1816-9791-2016-16-1-76-79, EDN: VUSOFB
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online:
14.03.2016
Full text:
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Language:
Russian
Heading:
UDC:
517.5
EDN:
VUSOFB
On the Existence of Continual Closed U-set
Autors:
Yurchenko Irina Sergeevna, Saratov State University
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:
References:
- Shneider А. А. On the uniqueness of expansions in Walsh functions. Mat. Sb. (N.S.), 1949, vol. 24(66), no. 2, pp. 279–300 (in Russian).
- Bokaev N. А. An uniqueness sets for some orthonormal systems. Preprint in VINITI, 03.08.1983, № 4282-83 (in Russian).
- Bokaev N. А. An U-sets for multiplicative systems. Vestnik Mosk. un-ta. Ser. 1. Matem. Mekh., 1995, no. 3, pp. 84–86 (in Russian).
Received:
14.11.2015
Accepted:
26.02.2016
Published:
31.03.2016
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