Divergence in measure of multiple Fourier series

  • S. V. Konyagin


Fourier Fourier Series Multiple Fourier Series 
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Literature cited

  1. 1.
    A. N. Kolmogoroff, “Sur les fonctions harmoniques conjuguées et les séries de Fourier,” Fund. Math.,7, 24–29 (1925).Google Scholar
  2. 2.
    N. K. Bari, Trigonometric Series [in Russian], Fizmatgiz, Moscow (1961).Google Scholar
  3. 3.
    Sh. A. Alimov, V. A. Il'in, and E. M. Nikishin, “The problems of convergence of multiple trigonometric series and spectral decompositions,” Usp. Mat. Nauk,31, No. 6, 28–33 (1976).Google Scholar
  4. 4.
    S. V. Bochkarev, “The averaging method in theory of orthogonal series and some questions in theory of bases,” Tr. Mat. Inst. Akad. Nauk SSSR,146, 3–87 (1978).Google Scholar
  5. 5.
    V. A. Yudin, “A lower bound for the Lebesgue constants,” Mat. Zametki,25, No. 1, 119–122 (1979).Google Scholar

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • S. V. Konyagin
    • 1
  1. 1.M. V. Lomonosov Moscow State UniversityUSSR

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