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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
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 $2^{-m}$ $(m=2,3,4,…)$ is a set of uniqueness.
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Russian Academy of Sciences. Izvestiya Mathematics, 1994, 42:1, 149–162
Bibliographic databases:
   
UDC:
517.5
MSC: Primary 42C25; Secondary 42C10
Received: 29.05.1991
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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\jour Russian Acad. Sci. Izv. Math.
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\pages 149--162
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http://mi.mathnet.ru/eng/izv892 http://mi.mathnet.ru/eng/izv/v57/i1/p167
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This publication is cited in the following articles:
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V. A. Skvortsov, N. N. Kholshchevnikova, “$M$-sets for three classes of series in the Faber–Schauder system”, Math. Notes, 64:5 (1998), 634–645
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N. N. Kholshchevnikova, “Theorems on unions of $U$-sets”, Math. Notes, 67:5 (2000), 657–664
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