Literature cited
N. N. Luzin, “On a case of Taylor's series,” Mat. Sb.,23, No. 2, 295–302 (1912).
P. Fatou, “Series trigonometriques et series de Taylor,” Acta Math.,30, 335–400 (1906).
H. Steinhaus, “Une serie trigonometrique partout divergente,” C. R. Soc. Sci. Varsovie (1912).
L. Neder, “Zhür Theorie der trigonometrischen,” Reihen-Math. Ann.,84, 117–136 (1921).
S. B. Stechkin, “On the convergence and divergence of trigonometric series,” Usp. Mat. Nauk,6, No. 2, 148–149 (1951).
A. Dvoretsky and P. Erdos, “On power series which diverge everywhere on the unit circle of convergence,” Michigan Math. J.,3, No. 1, 31–35 (1955–1956).
P. L. Ul'yanov, “Soluble and insoluble problems in the theory of trigonometric and orthogonal series,” Usp. Mat. Nauk,19, No. 1, 3–69 (1964).
A. Zygmund, Trigonometric Series, Vol. I, Cambridge Univ. Press.
N. K. Bari, Trigonometric Series [in Russian], Fizmatgiz, Moscow (1961).
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Translated from Matematicheskie Zametki, Vol. 37, No. 2, pp. 186–191, February, 1985.
In conclusion, the author thanks P. L. Ul'yanov for supervising this work.
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Galstyan, S.S. Everywhere divergent trigonometric series. Mathematical Notes of the Academy of Sciences of the USSR 37, 105–108 (1985). https://doi.org/10.1007/BF01156753
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DOI: https://doi.org/10.1007/BF01156753