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Russian Mathematical Surveys, 1966, Volume 21, Issue 6, Pages 1–82
DOI: https://doi.org/10.1070/RM1966v021n06ABEH001196
(Mi rm5939)
 

This article is cited in 64 scientific papers (total in 64 papers)

Lacunary series and independent functions

V. F. Gaposhkin
References:
Received: 11.06.1965
Bibliographic databases:
Document Type: Article
UDC: 519.2+517.5
MSC: 30B10, 28A20, 40A05
Language: English
Original paper language: Russian
Citation: V. F. Gaposhkin, “Lacunary series and independent functions”, Russian Math. Surveys, 21:6 (1966), 1–82
Citation in format AMSBIB
\Bibitem{Gap66}
\by V.~F.~Gaposhkin
\paper Lacunary series and independent functions
\jour Russian Math. Surveys
\yr 1966
\vol 21
\issue 6
\pages 1--82
\mathnet{http://mi.mathnet.ru/eng/rm5939}
\crossref{https://doi.org/10.1070/RM1966v021n06ABEH001196}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=206556}
\zmath{https://zbmath.org/?q=an:0178.06903}
Linking options:
  • https://www.mathnet.ru/eng/rm5939
  • https://doi.org/10.1070/RM1966v021n06ABEH001196
  • https://www.mathnet.ru/eng/rm/v21/i6/p3
  • This publication is cited in the following 64 articles:
    1. Yu. V. Malykhin, “Widths and rigidity”, Sb. Math., 215:4 (2024), 543–571  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. Christoph Aistleitner, Lorenz Frühwirth, Joscha Prochno, “Diophantine conditions in the law of the iterated logarithm for lacunary systems”, Probab. Theory Relat. Fields, 2024  crossref
    3. S. V. Astashkin, “Sequences of independent functions and structure of rearrangement invariant spaces”, Russian Math. Surveys, 79:3 (2024), 375–457  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    4. Nicolas Dray, Nicolas Mary, Cédric Dossat, Jefferson Bourgoin, Nathalie Chatry, Andrea Zoia, Cheikh Diop, Cyrille de Saint Jean, “An overview of last decade's developments in RayXpert®, a 3D Monte Carlo code”, EPJ Nuclear Sci. Technol., 10 (2024), 10  crossref
    5. I. V. Limonova, “Dense weakly lacunary subsystems of orthogonal systems and maximal partial sum operator”, Sb. Math., 214:11 (2023), 1560–1584  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    6. Tamás F. Móri, Gábor J. Székely, “Pseudorandom processes”, Stochastic Processes and their Applications, 150 (2022), 699  crossref
    7. Pavel Trojovský, K Venkatachalam, “The Proof of a Conjecture Relating Catalan Numbers to an Averaged Mandelbrot-Möbius Iterated Function”, Fractal Fract, 5:3 (2021), 92  crossref
    8. Sergey V. Astashkin, The Rademacher System in Function Spaces, 2020, 229  crossref
    9. V. Yu. Bogdanskii, O. I. Klesov, “The uniform strong law of large numbers without any assumption on a family of sets”, BKNUPhM, 2020, no. № 3, 39  crossref
    10. A. I. Rubinshtein, “On a Set of Weakly Multiplicative Systems”, Math. Notes, 105:3 (2019), 473–477  mathnet  crossref  crossref  mathscinet  isi  elib
    11. Alina Bazarova, Istvan Berkes, Marko Raseta, “Strong approximation of lacunary series with random gaps”, Monatsh Math, 186:3 (2018), 393  crossref
    12. Dimitris Vartziotis, Doris Bohnet, “Fractal Curves from Prime Trigonometric Series”, Fractal Fract, 2:1 (2018), 2  crossref
    13. Fan A., “Almost everywhere convergence of ergodic series”, Ergod. Theory Dyn. Syst., 37:2 (2017), 490–511  crossref  mathscinet  zmath  isi  scopus
    14. István Berkes, Number Theory – Diophantine Problems, Uniform Distribution and Applications, 2017, 137  crossref
    15. Aistleitner Ch., Fukuyama K., “On the law of the iterated logarithm for trigonometric series with bounded gaps II”, J. Theor. Nr. Bordx., 28:2 (2016), 391–416  crossref  mathscinet  zmath  isi
    16. István Berkes, Robert Tichy, Mathematical Statistics and Limit Theorems, 2015, 7  crossref
    17. Henri Faure, Peter Kritzer, Friedrich Pillichshammer, “From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules”, Indagationes Mathematicae, 26:5 (2015), 760  crossref
    18. István Berkes, Michel Weber, “On series Σc k f(kx) and Khinchin’s conjecture”, Isr. J. Math, 2014  crossref
    19. I. Berkes, R. Tichy, “On permutation-invariance of limit theorems”, Journal of Complexity, 2014  crossref
    20. M. Raseta, “On Lacunary Series with Random Gaps”, Acta Math. Hungar, 2014  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Успехи математических наук Russian Mathematical Surveys
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