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General linear summation of the Vilenkin-Fourier series

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References

  1. S. L. Blumin, On linear summation methods of Fourier series with respect to multiplicative systems,Sibirsk. Mat. Z. 9, 2 (1968), 449-455.

    Google Scholar 

  2. S. L. Blumin, Some properties of a class of multiplicative systems and approximation of functions by polynomials with respect to these systems,Izv. Vus. Ucêbn. Z.,4 (1968), 13–22.

    Google Scholar 

  3. Su Weiyi, The kernel of Abel-Poisson type on Walsh systems,Chin. Ann. of Math.,2 (1981), 81–92.

    Google Scholar 

  4. He Zelin, An approximation theorem with its corollaries forp-adic Walsh-Fejér operator,J. of Nanjing Univ. (natural science edition),3 (1982), 585–597.

    Google Scholar 

  5. He Zelin, The derivatives and integrals of fractional order in the Walsh-Fourier analysis with applications to approximation theory,J. of Approx. Theory,39 (1983), 361–373.

    Article  Google Scholar 

  6. R. E. Edwards and G. I. Gaudry,Littlewood-Paley and Multiplier Theory, Ergebnisse der Mathematik und ihrer Grenzgebiete 90, Springer-Verlag (Berlin-Heidelberg-New York, 1977).

    Google Scholar 

  7. N. Ya. Vilenkin, A class of complete orthonormal systems,Izv. Akad. Nauk SSSR, Ser. Mat.,11 (1947), 363–400.

    Google Scholar 

  8. A. V. Efimov, On some approximation properties of periodic multiplicative orthonormal systems,Mat. Sb.,69 (1966), 354–370.

    Google Scholar 

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Zelin, H. General linear summation of the Vilenkin-Fourier series. Acta Math Hung 46, 285–295 (1985). https://doi.org/10.1007/BF01955741

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