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Gaussian lacunary series and the modulus of continuity for Gaussian processes. (English) Zbl 0222.60026


MSC:

60G15 Gaussian processes
30B10 Power series (including lacunary series) in one complex variable
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References:

[1] Berman, S., Harmonic analysis of local times and sample functions of Gaussian processes, Trans. Amer. math. Soc., 143, 269-281 (1969) · Zbl 0186.50802
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[11] Marcus, M. B.; Shepp, L. A., Continuity of Gaussian processes, Trans. Amer. math. Soc., 151, 377-391 (1970) · Zbl 0209.49201
[12] Marcus, M. B.; Shepp, L. A., Sample behavior of Gaussian processes, Proc. Sixth Berkeley Sympos. Math. and Statistics (1971), Berkeley and Los Angeles: Univ. of California Press, Berkeley and Los Angeles · Zbl 0379.60040
[13] Nisio, M., On the extreme values of Gaussian processes, Osaka J. Math., 4, 313-326 (1967) · Zbl 0178.19904
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