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## Kholshchevnikova, Natal’ya Nikolaevna

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 Author ID: kholshchevnikova.natalia-n Published as: Kholschevnikova, N. N.; Kholshchevnikova, N. N.; Kholshchevnikova, Natalia; Kholshchevnikova, Natalia N.; Kholshchevnikova, Natasha N. External Links: MGP · Math-Net.Ru
 Documents Indexed: 35 Publications since 1980
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#### Co-Authors

 26 single-authored 3 Skvortsov, Valentin Anatol’evich 2 Malykhin, Vyacheslav Ivanovich 2 Telyakovskiĭ, Sergeĭ Aleksandrovich 1 Arestov, Vitaliĭ Vladimirovich 1 Berdyshev, Vitalii Ivanovich 1 Bukovský, Lev 1 Chernykh, Nikolaĭ Ivanovich 1 Demina, T. V. 1 Golubov, Boris Ivanovich 1 Kashin, Boris Sergeevich 1 Konyagin, Sergeĭ Vladimirovich 1 Lukashenko, Taras P. 1 Malykhin, Yuriĭ Vyacheslavovich 1 Plotnikov, Mikhail G. 1 Repický, Miroslav 1 Skopina, Maria A. 1 Solodov, Alekseĭ Petrovich 1 Stepin, Anatolii Mikhailovich 1 Subbotin, Yuriĭ Nikolaevich 1 Tsar’kov, Igor’ Germanovich 1 Yudin, Vladimir A.
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#### Serials

 11 Mathematical Notes 4 Real Analysis Exchange 2 Sbornik: Mathematics 2 Proceedings of the Steklov Institute of Mathematics 1 Acta Universitatis Carolinae. Mathematica et Physica 1 Analysis Mathematica 1 Journal of Mathematical Analysis and Applications 1 Matematicheskie Zametki 1 Moscow University Mathematics Bulletin 1 Russian Mathematical Surveys 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Matematicheskiĭ Sbornik 1 Russian Academy of Sciences. Izvestiya. Mathematics 1 Russian Academy of Sciences. Sbornik. Mathematics 1 Russian Academy of Sciences. Doklady. Mathematics 1 East Journal on Approximations 1 Eurasian Mathematical Journal
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#### Fields

 25 Harmonic analysis on Euclidean spaces (42-XX) 10 Mathematical logic and foundations (03-XX) 6 Abstract harmonic analysis (43-XX) 5 Sequences, series, summability (40-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX)

#### Citations contained in zbMATH

15 Publications have been cited 34 times in 29 Documents Cited by Year
Thin sets of harmonic analysis and infinite combinatorics. Zbl 0835.42001
Bukovský, Lev; Kholshchevnikova, Natasha N.; Repický, Miroslav
1995
Union of sets of uniqueness for multiple Walsh and multiple trigonometric series. Zbl 1037.42028
Kholshchevnikova, N. N.
2002
On $$U$$- and $$M$$-sets for series with respect to characters of compact zero-dimensional groups. Zbl 1435.42024
Kholshchevnikova, Natalia; Skvortsov, Valentin
2017
Exposition of the lectures by S. B. Stechkin on approximation theory. Zbl 1277.41001
Arestov, V. V.; Berdyshev, V. I.; Chernykh, N. I.; Demina, T. V.; Kholschevnikova, N. N.; Konyagin, S. V.; Subbotin, Yu. N.; Telyakovskii, S. A.; Tsar’kov, I. G.; Yudin, V. A.
2011
On sets of uniqueness for series in various systems of functions. Zbl 0814.42021
Kholshchevnikova, N. N.
1993
Generalized Bary theorem for the Walsh system. Zbl 0771.42017
Kholshchevnikova, N. N.
1992
On the properties of thin sets for trigonometric series and certain other series. Zbl 0794.42019
Kholshchevnikova, N. N.
1992
Independence of two set-theoretic assertions in the theory of summability. Zbl 0458.40005
Malykhin, V. I.; Kholshchevnikova, N. N.
1980
Integrability of the sum of absolute values of blocks of the Fourier-Walsh series for functions of bounded variation. Zbl 1362.42057
Malykhin, Yu. V.; Telyakovskii, S. A.; Kholshchevnikova, N. N.
2015
Comparison of two generalized trigonometric integrals. Zbl 1133.26005
Skvortsov, V. A.; Kholshchevnikova, N. N.
2006
Uniqueness for trigonometric series with respect to an increasing number of variables. Zbl 1143.42009
Kholshchevnikova, N. N.
2005
On the de la Vallée Poussin theorem on the uniqueness of the trigonometric series representing a function. Zbl 0873.42004
Kholshchevnikova, N. N.
1996
On the category of $$U$$-sets for series in the Walsh system. Zbl 0797.42015
Kholshchevnikova, N. N.
1993
Representation of certain functions under Martin’s axiom. Zbl 0729.03028
Kholshchevnikova, N. N.
1991
Uncountable R-sets and N-sets. Zbl 0654.42009
Kholshchevnikova, N. N.
1985
On $$U$$- and $$M$$-sets for series with respect to characters of compact zero-dimensional groups. Zbl 1435.42024
Kholshchevnikova, Natalia; Skvortsov, Valentin
2017
Integrability of the sum of absolute values of blocks of the Fourier-Walsh series for functions of bounded variation. Zbl 1362.42057
Malykhin, Yu. V.; Telyakovskii, S. A.; Kholshchevnikova, N. N.
2015
Exposition of the lectures by S. B. Stechkin on approximation theory. Zbl 1277.41001
Arestov, V. V.; Berdyshev, V. I.; Chernykh, N. I.; Demina, T. V.; Kholschevnikova, N. N.; Konyagin, S. V.; Subbotin, Yu. N.; Telyakovskii, S. A.; Tsar’kov, I. G.; Yudin, V. A.
2011
Comparison of two generalized trigonometric integrals. Zbl 1133.26005
Skvortsov, V. A.; Kholshchevnikova, N. N.
2006
Uniqueness for trigonometric series with respect to an increasing number of variables. Zbl 1143.42009
Kholshchevnikova, N. N.
2005
Union of sets of uniqueness for multiple Walsh and multiple trigonometric series. Zbl 1037.42028
Kholshchevnikova, N. N.
2002
On the de la Vallée Poussin theorem on the uniqueness of the trigonometric series representing a function. Zbl 0873.42004
Kholshchevnikova, N. N.
1996
Thin sets of harmonic analysis and infinite combinatorics. Zbl 0835.42001
Bukovský, Lev; Kholshchevnikova, Natasha N.; Repický, Miroslav
1995
On sets of uniqueness for series in various systems of functions. Zbl 0814.42021
Kholshchevnikova, N. N.
1993
On the category of $$U$$-sets for series in the Walsh system. Zbl 0797.42015
Kholshchevnikova, N. N.
1993
Generalized Bary theorem for the Walsh system. Zbl 0771.42017
Kholshchevnikova, N. N.
1992
On the properties of thin sets for trigonometric series and certain other series. Zbl 0794.42019
Kholshchevnikova, N. N.
1992
Representation of certain functions under Martin’s axiom. Zbl 0729.03028
Kholshchevnikova, N. N.
1991
Uncountable R-sets and N-sets. Zbl 0654.42009
Kholshchevnikova, N. N.
1985
Independence of two set-theoretic assertions in the theory of summability. Zbl 0458.40005
Malykhin, V. I.; Kholshchevnikova, N. N.
1980
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#### Cited by 27 Authors

 5 Kholshchevnikova, Natal’ya Nikolaevna 4 Dikranjan, Dikran N. 4 Plotnikov, Mikhail G. 3 Elias, Peter 3 Giordano Bruno, Anna 3 Skvortsov, Valentin Anatol’evich 2 Barbieri, Giuseppina Gerarda 2 Bukovský, Lev 2 Repický, Miroslav 2 Weber, Hans Josef Karl 1 Bartoszynski, Tomek 1 Bose, Kumardipta 1 Bukovská, Zuzana 1 Das, Pratulananda 1 Deikalova, Marina V. 1 Di Santo, Raffaele 1 Haleš, Jozef 1 Impieri, Daniele 1 Negro, Giacomo 1 Recław, Ireneusz 1 Scheepers, Marion 1 Subbotin, Yuriĭ Nikolaevich 1 Sworowski, P. A. 1 Toledo, Rodolfo 1 Torgashova, Anastasiya Yu. 1 Vojtáš, Peter 1 Zhereb’eva, T. A.
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#### Cited in 11 Serials

 7 Topology and its Applications 6 Mathematical Notes 4 Proceedings of the American Mathematical Society 3 Journal of Mathematical Analysis and Applications 3 Proceedings of the Steklov Institute of Mathematics 1 Discrete Mathematics 1 Moscow University Mathematics Bulletin 1 Fundamenta Mathematicae 1 Mathematica Slovaca 1 Ricerche di Matematica 1 European Journal of Mathematics
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#### Cited in 11 Fields

 15 Harmonic analysis on Euclidean spaces (42-XX) 12 Abstract harmonic analysis (43-XX) 9 General topology (54-XX) 6 Topological groups, Lie groups (22-XX) 5 Mathematical logic and foundations (03-XX) 3 Group theory and generalizations (20-XX) 3 Sequences, series, summability (40-XX) 3 Approximations and expansions (41-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 1 Measure and integration (28-XX)