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Union of sets of divergence of functional series

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Literature cited

  1. Y. Katznelson, “Sur les ensembles de divergence des series trigonometriques,” Stud. Math.,26, 301–304 (1966).

    Google Scholar 

  2. Y. Katznelson, An Introduction to Harmonic Analysis, Wiley, New York (1968).

    Google Scholar 

  3. S. V. Bochkarev, “Fourier series, divergent on a set of positive measure, for an arbitrary bounded orthonormal system,” Mat. Sb.,98, No. 3, 436–449 (1975).

    Google Scholar 

  4. S. V. Bochkarev, “Averaging method in the theory of orthogonal series and some questions of the theory of bases,” Tr. Mat. Inst. Akad. Nauk SSSR,156 (1978).

  5. Sh. V. Kheladze, “Remark on a theorem of Katznelson,” Tr. Molodykh Nauch. Rabotn. Tbilis. Univ., Ser. Fiz.-Mat. Estestv. Nauk,2, 24–29 (1974).

    Google Scholar 

  6. Sh. V. Kheladze, “Divergence everywhere of Fourier-Walsh series,” Soobshch. Akad. Nauk Gruz. SSR,77, No. 2, 305–307 (1975).

    Google Scholar 

  7. Sh. V. Kheladze, “Divergence everywhere of Fourier series with respect to bounded Vilenkin systems,” Tr. Tbilis. Mat. Inst.,58, 224–242 (1978).

    Google Scholar 

  8. S. Yu. Lukashenko, “Sets of divergence and nonsummability of trigonometric series,” Vestn. Moscow Univ., Ser. Mat., Mekh., No. 2, 65–70 (1978).

    Google Scholar 

  9. N. K. Bari, Trigonometric Series [in Russian], Fizmatgiz, Moscow (1961).

    Google Scholar 

  10. S. Kaczmarz and H. Steinhaus, Theory of Orthogonal Series [in German], Chelsea Publ.

  11. L. A. Balashov and A. I. Rubinshtein, “Series with respect to a Walsh system, and their generalizations,” in: Mathematical Analysis, 1970 [in Russian], Itogi Nauki VINITI, Moscow (1971), pp. 148–202.

    Google Scholar 

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    T. P. Lukashenko

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  1. T. P. Lukashenko
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Translated from Matematicheskie Zametki, Vol. 31, No. 4, pp. 539–548, April, 1982.

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Lukashenko, T.P. Union of sets of divergence of functional series. Mathematical Notes of the Academy of Sciences of the USSR 31, 274–278 (1982). https://doi.org/10.1007/BF01138936

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  • DOI: https://doi.org/10.1007/BF01138936

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