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A note on uniform convergence of stochastic processes


Author: John B. Walsh
Journal: Proc. Amer. Math. Soc. 18 (1967), 129-132
MSC: Primary 60.30; Secondary 60.08
MathSciNet review: 0203792
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  • [1] S. D. Chatterji, A note on the convergence of Banach-space valued martingales, Math. Ann. 153 (1964), 142–149. MR 0161376
  • [2] Jean Delporte, Convergence uniforme presque sûre de séries de fonctions aléatoires normales presque sûrement continues. Application à l’étude de la fonction du mouvement brownien de Wiener-Lévy, C. R. Acad. Sci. Paris 256 (1963), 3949–3952 (French). MR 0149517
  • [3] J. L. Doob, Stochastic processes, John Wiley & Sons, Inc., New York; Chapman & Hall, Limited, London, 1953. MR 0058896
  • [4] M. Kac and A. J. F. Siegert, An explicit representation of a stationary Gaussian process, Ann. Math. Statistics 18 (1947), 438–442. MR 0021672
  • [5] R. C. Paley and N. Wiener, Fourier transforms in the complex domain, Amer. Math. Soc. Colloq. Publ., Vol. 19, Amer. Math. Soc., Providence, R. I., 1934.
  • [6] Frank S. Scalora, Abstract martingale convergence theorems, Pacific J. Math. 11 (1961), 347–374. MR 0123356
  • [7] L. A. Shepp, Radon-Nikodým derivatives of Gaussian measures, Ann. Math. Statist. 37 (1966), 321–354. MR 0190999

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DOI: http://dx.doi.org/10.1090/S0002-9939-1967-0203792-0
Article copyright: © Copyright 1967 American Mathematical Society