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Transactions of the American Mathematical Society

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The law of the iterated logarithm for lacunary trigonometric series.


Author: Mary Weiss
Journal: Trans. Amer. Math. Soc. 91 (1959), 444-469
MSC: Primary 42.00
DOI: https://doi.org/10.1090/S0002-9947-1959-0108681-8
MathSciNet review: 0108681
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References [Enhancements On Off] (What's this?)

  • [P] Erdös and I. S. Gál 1. On the law of the iterated logarithm, Nederl. Akad. Wetensch. Proc. Ser. A. vol. 58 (1955) pp. 65-84.
  • [A] A. Kolmogoroff, Über das Gesetz des iterierten Logarithmus, Math. Ann. 101 (1929), no. 1, 126–135 (German). MR 1512520, https://doi.org/10.1007/BF01454828
  • [R] R. Salem and A. Zygmund, La loi du logarithme itéré pour les séries trigonométriques lacunaires, Bull. Sci. Math. (2) 74 (1950), 209–224 (French). MR 0039828
  • [A] Zygmund 1. Trigonometrical Series, Warszawa-Lwow, Monografie Matematyczne, 1935.

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DOI: https://doi.org/10.1090/S0002-9947-1959-0108681-8
Article copyright: © Copyright 1959 American Mathematical Society