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Series with respect to the Schauder system

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Abstract

Unconditional convergence in the C(0, 1) metric and convergence almost everywhere of series with respect to the Schauder system are investigated.

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Literature cited

  1. S. Kaczmarz and H. Steinhaus, The Theory of Orthogonal Series [Russian translation], Moscow (1958).

  2. M. Déi, Normed Linear Spaces [Russian translation], Moscow (1961).

  3. L. Siesielski, “On Haar functions and on the Schauder basis of the space C(0, 1),” Bull. Acad. Polon. Sci., Ser. Math.,7, No. 4, 227–232 (1959).

    Google Scholar 

  4. A. V. Efimov, “Linear methods of approximating continuous periodic functions,” Matem. Sb.,54, No. 1, 51–90 (1961).

    Google Scholar 

  5. P. L. Ul'yanov, “Divergent Fourier series,” Uspekhi Matem. Nauk,16, No. 3, 61–142 (1961).

    Google Scholar 

  6. M. Loeve, Probability Theory [Russian translation], Moscow (1962).

  7. P. L. Ul'yanov, “Some properties of series with respect to the Schauder system,” Matem. Zametki,1, No. 1, 17–25 (1967).

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Authors and Affiliations

  1. A. M. Razmadze Mathematics Institute, Academy of Sciences of the Georgian SSR, USSR

    S. V. Bochkarev

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  1. S. V. Bochkarev
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Translated from Matematicheskie Zametki, Vol. 4, No. 4, pp. 453–460, October, 1968.

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Bochkarev, S.V. Series with respect to the Schauder system. Mathematical Notes of the Academy of Sciences of the USSR 4, 763–767 (1968). https://doi.org/10.1007/BF01093716

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  • DOI: https://doi.org/10.1007/BF01093716

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