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Sbornik: Mathematics, 2002, Volume 193, Issue 4, Pages 609–633
DOI: https://doi.org/10.1070/SM2002v193n04ABEH000647 (Mi sm647) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Union of sets of uniqueness for multiple Walsh and multiple trigonometric series

N. N. Kholshchevnikova

Moscow State Technological University "Stankin"
English version PDF (272 kB) Citations (8)
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DOI: https://doi.org/10.1070/SM2002v193n04ABEH000647
Abstract: For the case of convergence over rectangles of multiple Walsh and multiple trigonometric series questions on unions of sets of uniqueness, formal multiplication of series, the localization principle for integrable functions, and analogues of Privalov's theorem on the unique representation of a function by a series are considered.
Received: 31.05.2001
Russian version:
Matematicheskii Sbornik, 2002, Volume 193, Number 4, Pages 135–160
DOI: https://doi.org/10.4213/sm647
Bibliographic databases:
UDC: 517.5
MSC: Primary 42B05, 42B08, 42C25; Secondary 42A63
Language: English
Original paper language: Russian
Citation: N. N. Kholshchevnikova, “Union of sets of uniqueness for multiple Walsh and multiple trigonometric series”, Mat. Sb., 193:4 (2002), 135–160; Sb. Math., 193:4 (2002), 609–633
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:218
    English version PDF:13
    References:63
    First page:1
     
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