References
I.Berkes, An almost sure invariance principle for lacunary trigonometric series.Acta Math. Acad. Sci. Hung. 26 (1975) 209–220.MR 54, 14031
I. Berkes, A note on lacunary trigonometric series.Acta Math. Hung. (to appear)
P.Erdős, On trigonometric sums with gaps.Magyar Tud. Akad. Mat. Kut. Int. Közl. 7 (1962) 37–42.
W.Feller, The general form of the so-called law of the iterated logarithm.Trans. Hung. 7 (1972) 147–153.MR 47, 4310
A.Földes, Further statistical properties of the Walsh functions.Studia Sci. Math. Hung. 7 (1972) 147–153.MR 47, 4310
V.Gaposhkin, Lacunary series and independent functions.Uspehi Mat. Nauk. 21/6 (1966) 3–82. (In Russian.)
G. Szegő, Orthogonal polynomials.Amer. Math. Soc. Coll. Publ., XXIII (1959). (New York)
S.Takahashi, On the law the iterated logarithm for lacunary trigonometric series.Tohoku Math. Journ. 24 (1972) 319–329. and27 (1975) 391–403.
S.Takahashi, Almost sure invariance principles for lacunary trigonometric series.Tohoku Math. Journ. 31 (1979) 439–451.
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Research supported by Hungarian National Foundation for Scientific Research, grant no. 1808.
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Berkes, I. Irregular lil behaviour of lacunary trigonometric series. Period Math Hung 21, 273–279 (1990). https://doi.org/10.1007/BF02352692
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DOI: https://doi.org/10.1007/BF02352692