Literature cited
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).
N. Ya. Vilenkin, “On a class of complete orthogonal systems,” Izv. AN SSSR, Ser. Mat.,11, 363–400 (1947).
J. J. Price, “Certain groups of orthonormal step functions,” Can. J. Math.,9, No. 3, 413–425 (1957).
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).
A. V. Efimov, “On certain approximation properties of periodic multiplicative orthonormal systems,” Mat. Sb.,69, No. 3, 354–370 (1966).
B. I. Golubov, “A certain class of complete orthogonal systems,” Sib. Mat. Zh.,9, No. 2, 297–314 (1968).
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).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 43, No. 6, pp. 808–828, June, 1988.
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01158517