Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Polyakova N. С. On the Uniqueness of Series with Respect to Characters of Dyadic Groups. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2009, vol. 9, iss. 2, pp. 38-44. DOI: 10.18500/1816-9791-2009-9-2-38-44

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
18.06.2009
Full text:
(downloads: 130)
Language: 
Russian
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UDC: 
517.51

On the Uniqueness of Series with Respect to Characters of Dyadic Groups

Autors: 
Polyakova N.S. С., Saratov State University
Abstract: 

Conditions on series with respect to characters of dyadic groups are specified by which finite or countable set is the set of uniqueness.

References: 
  1. Агаев Г.Н., Виленкин Н.Я., Джафарли Г.М., Рубинштейн А.И. Мультипликативные системы функций и гармонический анализ на нуль-мерных группах. Баку: Элм, 1981.
  2. Морева Н.С. О единстенности кратных рядов Уолша для сходимости по двоичным кубам // Мат. заметки. 2007. Т. 81(4). С. 586–598.