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Uspekhi Mat. Nauk, 1985, Volume 40, Issue 3(243), Pages 157–193 (Mi umn2650)  

This article is cited in 18 scientific papers (total in 18 papers)

Modifications of functions and Fourier series

A. M. Olevskii

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English version:
Russian Mathematical Surveys, 1985, 40:3, 181–224

Bibliographic databases:

UDC: 517.51
MSC: 42A16, 42A20, 42A24
Received: 10.09.1984

Citation: A. M. Olevskii, “Modifications of functions and Fourier series”, Uspekhi Mat. Nauk, 40:3(243) (1985), 157–193; Russian Math. Surveys, 40:3 (1985), 181–224

Citation in format AMSBIB
\by A.~M.~Olevskii
\paper Modifications of functions and Fourier series
\jour Uspekhi Mat. Nauk
\yr 1985
\vol 40
\issue 3(243)
\pages 157--193
\jour Russian Math. Surveys
\yr 1985
\vol 40
\issue 3
\pages 181--224

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    This publication is cited in the following articles:
    1. V. V. Lebedev, “Change of variable and the rapidity of decrease of Fourier coefficients”, Math. USSR-Sb., 70:2 (1991), 541–555  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    2. V. M. Bugadze, “On the Fourier–Haar series of composite functions”, Math. USSR-Sb., 72:1 (1992), 163–188  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    3. A. A. Talalyan, R. I. Ovsepian, “The representation theorems of D. E. Men'shov and their impact on the development of the metric theory of functions”, Russian Math. Surveys, 47:5 (1992), 13–47  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    4. S. Galstyan, R. I. Ovsepian, “Trigonometric series with rapidly decreasing coefficients”, Sb. Math., 187:11 (1996), 1577–1600  mathnet  crossref  crossref  mathscinet  zmath  isi
    5. S. Galstyan, G. A. Karagulian, “Divergence almost everywhere of rectangular partial sums of multiple Fourier series of bounded functions”, Math. Notes, 64:1 (1998), 20–30  mathnet  crossref  crossref  mathscinet  zmath  isi
    6. I. L. Bloshanskii, “A Criterion for Weak Generalized Localization in the Class $L_1$ for Multiple Trigonometric Series from the Viewpoint of Isometric Transformations”, Math. Notes, 71:4 (2002), 464–476  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    7. Holicky P., Preiss D., “Rearrangements of Functions on Totally Disconnected Groups”, J. Math. Anal. Appl., 283:1 (2003), 77–84  crossref  isi
    8. A. M. Olevskii, “Representation of functions by exponentials with positive frequencies”, Russian Math. Surveys, 59:1 (2004), 171–180  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    9. V. V. Lebedev, “On the topological stability of continuous functions in certain spaces related to Fourier series”, Izv. Math., 74:2 (2010), 347–378  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    10. V. V. Lebedev, “On Uniform Convergence of Fourier Series”, Math. Notes, 91:6 (2012), 889–892  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    11. M. G. Grigoryan, S. A. Sargsyan, “Nonlinear approximation of functions from the class $L^r$ with respect to the Vilenkin system”, Russian Math. (Iz. VUZ), 57:2 (2013), 25–33  mathnet  crossref
    12. S. A. Episkoposyan, “On the uniform convergence of the greedy algorithm in a generalized Walsh system”, Siberian Math. J., 54:5 (2013), 810–816  mathnet  crossref  mathscinet  isi
    13. S. K. Bloshanskaya, I. L. Bloshanskii, “A weak generalized localization criterion for multiple Walsh–Fourier series with $J_k$-lacunary sequence of rectangular partial sums”, Proc. Steklov Inst. Math., 285 (2014), 34–55  mathnet  crossref  crossref  isi  elib  elib
    14. V. V. Lebedev, “A short and simple proof of the Jurkat–Waterman theorem on conjugate functions”, Funct. Anal. Appl., 51:2 (2017), 148–151  mathnet  crossref  crossref  isi  elib
    15. K. R. Bitsadze, “On changes of variable that preserve convergence and absolute convergence of Fourier-Haar series”, Sb. Math., 210:6 (2019), 783–808  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    16. St. Petersburg Math. J., 32:2 (2021), 261–277  mathnet  crossref  isi
    17. K. Bitsadze, “On Changes of Variable Preserving the Convergence and Absolute Convergence of Fourier Series in the Haar Wavelet System”, Math. Notes, 108:2 (2020), 162–170  mathnet  crossref  crossref  mathscinet  isi  elib
    18. K. Bitsadze, “On Changes of Variable that Preserve the Absolute Convergence of Fourier–Haar Series of Continuous Functions”, Math. Notes, 109:5 (2021), 679–693  mathnet  crossref  crossref  isi  elib
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