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Convergence of Fourier series for a class of A-integrable functions. (English) Zbl 0476.42007

MSC:

42A20 Convergence and absolute convergence of Fourier and trigonometric series
42A24 Summability and absolute summability of Fourier and trigonometric series
42A50 Conjugate functions, conjugate series, singular integrals

Citations:

Zbl 0413.42002
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References:

[1] E. C. Titchmarsh, ?On conjugate functions,? Proc. London Math. Soc.,29, No. 1, 49-80 (1929). · JFM 54.0307.01 · doi:10.1112/plms/s2-29.1.49
[2] A. N. Kolmogorov, Fundamental Concepts of Probability Theory [in Russian], Ob”edinenie Nauchno-Tekhnicheskikh Izdatel’stv (ONTI), Moscow-Leningrad (1936).
[3] Yu. S. Ochan, ?A generalized integral,? Mat. Sb.,28, No. 2, 293-336 (1951). · Zbl 0042.05902
[4] P. L. Ul’yanov, ?Application of A-integration to a class of trigonometric series,? Mat. Sb.,35, No. 3, 469-490 (1954).
[5] N. K. Bari, Trigonometric Series [in Russian], Fizmatgiz, Moscow (1961).
[6] A. Yu. Petrovich, ?Fourier series for certain classes of A-integrable functions,? Dokl. Akad. Nauk SSSR,224, No. 4, 768-770 (1975).
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