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Russian Academy of Sciences. Izvestiya Mathematics, 1994, Volume 42, Issue 1, Pages 149–162
DOI: https://doi.org/10.1070/IM1994v042n01ABEH001528 (Mi im892) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On sets uniqueness for series in various systems of functions

N. N. Kholshchevnikova
English version PDF (814 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM1994v042n01ABEH001528
Abstract: It is proved that sets of first category are $\mathscr U$-sets for series in the Rademacher system. For series in the Faber–Schauder system with coefficients tending to zero it is proved that every countable set and every set of Cantor type with ratio $2^{-m}$ $(m=2,3,4,\dots)$ is a set of uniqueness.
Received: 29.05.1991
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1993, Volume 57, Issue 1, Pages 167–182
Bibliographic databases:
UDC: 517.5
MSC: Primary 42C25; Secondary 42C10
Language: English
Original paper language: Russian
Citation: N. N. Kholshchevnikova, “On sets uniqueness for series in various systems of functions”, Izv. RAN. Ser. Mat., 57:1 (1993), 167–182; Russian Acad. Sci. Izv. Math., 42:1 (1994), 149–162
Citation in format AMSBIB
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\by N.~N.~Kholshchevnikova
\paper On~sets uniqueness for series in various systems of functions
\jour Izv. RAN. Ser. Mat.
\yr 1993
\vol 57
\issue 1
\pages 167--182
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\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1994
\vol 42
\issue 1
\pages 149--162
\crossref{https://doi.org/10.1070/IM1994v042n01ABEH001528}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994NH32100008}
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  • https://www.mathnet.ru/eng/im/v57/i1/p167
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:472
    Russian version PDF:109
    English version PDF:18
    References:74
    First page:2
     
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