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Literature Cited
S. V. Bochkarev, “On the absolute convergence of Fourier series with reflect to bounded systems,” Mat. Zametki,15, No. 3, 363–370 (1970).
S. V. Bochkarev, “On the absolute convergence of Fourier series with respect to bounded, complete, orthonormal systems of functions,” Mat. Sb.,93, No. 2, 203–217 (1974).
G. H. Hardy, D. Littlewood, and G. Polya, Inequalities, Cambridge Univ. Press (1952).
A. Zygmund, Trigonometric Series, Cambridge Univ. Press (1968).
V. V. Petrov, Sums of Independent Random Variables [in Russian], Nauka, Moscow (1972).
B. S. Mityagin, “On the absolute convergence of series of Fourier coefficients,” Dokl. Akad. Nauk SSSR,157, No. 5, 1047–1050 (1964).
E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press (1971).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 18, No. 1, pp. 122–131, January–February, 1977.
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Kashin, B.S. Coefficients in the expansion of a certain class of functions with respect to complete systems. Sib Math J 18, 91–99 (1977). https://doi.org/10.1007/BF00966953
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DOI: https://doi.org/10.1007/BF00966953