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References
Chover, J.: On Strassen's version of the log log law. Z. Wahrscheinlichkeitstheorie verw. Gebiete 8, 83–90 (1967).
Fernique, X.: Integrabilité des Vecteurs Gaussiens. C. r. Acad. Sci., Paris, Sér. A 270, 1698–1699 (1970).
Lamperti, J.: Probability. New York: Benjamin 1966.
LePage, R.: Note relating Bochner integrals and reproducing kernels to series expansions on a Gaussian Banach space. Proc. Amer. Math. Soc. 32, 285–288 (1972).
Strassen, V.: An invariance principle for the law of the iterated logarithm. Z. Wahrscheinlichkeits-theorie verw. Gebiete 3, 211–226 (1964).
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I wish to thank V. Mandrekar and also J. Williamson for helpful discussions of Strassen's theorem. The paper has also benefitted from good refereeing.
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LePage, R.D. Log log law for Gaussian processes. Z. Wahrscheinlichkeitstheorie verw Gebiete 25, 103–108 (1973). https://doi.org/10.1007/BF00533098
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DOI: https://doi.org/10.1007/BF00533098