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(C, 1)-Summability of Fourier series with respect to a multiplicative system of functions

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Literature cited

  1. G. N. Agaev, G. M. Dzhafarli, A. I. Rubinshtein, and N. Ya. Vilenkin, Multiplicative Systems of Functions and Harmonic Analysis on Zero-Dimensional Groups [in Russian], Elm, Baku (1981).

    Google Scholar 

  2. N. Ya. Vilenkin, “On a class of complete orthogonal systems,” Izv. AN SSSR, Ser. Mat.,11, 363–400 (1947).

    Google Scholar 

  3. J. J. Price, “Certain groups of orthonormal step functions,” Can. J. Math.,9, No. 3, 413–425 (1957).

    Google Scholar 

  4. M. A. Yastrebova, “The (C, l)-summability of the expansions of functions in periodic multiplicative orthonormal systems,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 12, 112–123 (1969).

    Google Scholar 

  5. A. V. Efimov, “On certain approximation properties of periodic multiplicative orthonormal systems,” Mat. Sb.,69, No. 3, 354–370 (1966).

    Google Scholar 

  6. B. I. Golubov, “A certain class of complete orthogonal systems,” Sib. Mat. Zh.,9, No. 2, 297–314 (1968).

    Google Scholar 

  7. V. I. Shcherbakov, “The Dini-Lipschitz test and convergence of Fourier series with respect to multiplicative systems,” Anal. Math.,10, No. 2, 133–150 (1984).

    Google Scholar 

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Translated from Matematicheskie Zametki, Vol. 43, No. 6, pp. 808–828, June, 1988.

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Tsutserova, N.I. (C, 1)-Summability of Fourier series with respect to a multiplicative system of functions. Mathematical Notes of the Academy of Sciences of the USSR 43, 467–479 (1988). https://doi.org/10.1007/BF01158517

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  • DOI: https://doi.org/10.1007/BF01158517

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