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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Fourier analysis of nonstationary stochastic processes
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by Tatsuo Kawata PDF
Trans. Amer. Math. Soc. 118 (1965), 276-302 Request permission
References
  • Salomon Bochner, Harmonic analysis and the theory of probability, University of California Press, Berkeley-Los Angeles, Calif., 1955. MR 0072370
  • —, Lectures on Fourier integrals, Annals of Mathematics No. 42, Princeton Univ. Press, Princeton, N.J., 1959. S. Bochner and S. Izumi, Some general convergence theorems, Tôhoku Math. J. 42 (1936), 191-194. H. Cramér, On some classes of non-stationary stochastic processes, Proc. 4th Berkeley, Sympos. Math. Statist. and Prob., Vol. II, Univ. California Press, Berkeley, Calif., 1961, pp. 57-78.
  • J. L. Doob, Stochastic processes, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1953. MR 0058896
  • Hirohisa Hatori, Some expansion theorems for stochastic processes. I, K\B{o}dai Math. Sem. Rep. 15 (1963), 111–120. MR 154322
  • T. Kawata, Some convergence theorems for stationary stochastic processes, Ann. Math. Statist. 30 (1959), 1192–1214. MR 109365, DOI 10.1214/aoms/1177706104
  • M. Loève, Fonctions aléatoires du second ordre, Suppl. to P. Lévy, Processus stochastique et mouvement brownien, Gauthier-Villars, Paris, 1948.
  • Michel Loève, Probability theory, 3rd ed., D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1963. MR 0203748
  • Emanuel Parzen, An appproach to time series analysis, Ann. Math. Statist. 32 (1961), 951–989. MR 143315, DOI 10.1214/aoms/1177704840
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Additional Information
  • © Copyright 1965 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 118 (1965), 276-302
  • MSC: Primary 60.40
  • DOI: https://doi.org/10.1090/S0002-9947-1965-0183014-2
  • MathSciNet review: 0183014