On the upper and lower class for stationary Gaussian processes
HTML articles powered by AMS MathViewer
- by Tunekiti Sirao and Hisao Watanabe
- Trans. Amer. Math. Soc. 147 (1970), 301-331
- DOI: https://doi.org/10.1090/S0002-9947-1970-0256455-4
- PDF | Request permission
References
- Yu. K. Belyaev, Continuity and Hölder’s conditions for sample functions of stationary Gaussian processes, Proc. 4th Berkeley Sympos. Math. Statist. and Prob., Vol. II, Univ. California Press, Berkeley, Calif., 1961, pp. 23–33. MR 0143256
- K. L. Chung and P. Erdös, On the application of the Borel-Cantelli lemma, Trans. Amer. Math. Soc. 72 (1952), 179–186. MR 45327, DOI 10.1090/S0002-9947-1952-0045327-5
- K. L. Chung, P. Erdős, and T. Sirao, On the Lipschitz’s condition for Brownian motion, J. Math. Soc. Japan 11 (1959), 263–274. MR 121873, DOI 10.2969/jmsj/01140263
- Xavier Fernique, Continuité des processus Gaussiens, C. R. Acad. Sci. Paris 258 (1964), 6058–6060 (French). MR 164365
- G. A. Hunt, Random Fourier transforms, Trans. Amer. Math. Soc. 71 (1951), 38–69. MR 51340, DOI 10.1090/S0002-9947-1951-0051340-3
- Michel Loève, Probability theory, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-New York-London, 1960. 2nd ed. MR 0123342
- Tunekiti Sirao, On the continuity of Brownian motion with a multidimensional parameter, Nagoya Math. J. 16 (1960), 135–156. MR 117796
- Tunekiti Sirao and Hisao Watanabe, On the Hölder continuity of stationary Gaussian processes, Proc. Japan Acad. 44 (1968), 482–484. MR 235613
Bibliographic Information
- © Copyright 1970 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 147 (1970), 301-331
- MSC: Primary 60.50
- DOI: https://doi.org/10.1090/S0002-9947-1970-0256455-4
- MathSciNet review: 0256455