On Hardy-Littlewood series
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- by Mary Weiss
- Trans. Amer. Math. Soc. 91 (1959), 470-479
- DOI: https://doi.org/10.1090/S0002-9947-1959-0108682-X
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References
- H. Hardy and J. E. Littlewood 1. Some problems of Diophantine approximation: A remarkable trigonometrial series, Proc. Nat. Acad. Sci. U.S.A. vol. 2 (1916) pp. 583-586.
Paley 1. On Weierstrass’s non-differentiable function, Proc. London Math. Soc. vol. 31 (1930) pp. 301-328.
- R. Salem and A. Zygmund, On lacunary trigonometric series, Proc. Nat. Acad. Sci. U.S.A. 33 (1947), 333–338. MR 22263, DOI 10.1073/pnas.33.11.333
- R. Salem and A. Zygmund, On lacunary trigonometric series. II, Proc. Nat. Acad. Sci. U.S.A. 34 (1948), 54–62. MR 23936, DOI 10.1073/pnas.34.2.54
- Mary Weiss, The law of the iterated logarithm for lacunary trigonometric series, Trans. Amer. Math. Soc. 91 (1959), 444–469. MR 108681, DOI 10.1090/S0002-9947-1959-0108681-8 Zygmund 1. Trigonometrical series, Warszawa-Lwów, Monografie Matematyczne, 1935, p. 118.
Bibliographic Information
- © Copyright 1959 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 91 (1959), 470-479
- MSC: Primary 42.00; Secondary 60.00
- DOI: https://doi.org/10.1090/S0002-9947-1959-0108682-X
- MathSciNet review: 0108682