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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles 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 1.48.

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Mean convergence of martingales
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by Lester L. Helms PDF
Trans. Amer. Math. Soc. 87 (1958), 439-446 Request permission
References
  • J. L. Doob, Stochastic processes, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1953. MR 0058896
  • J. L. Kelley, Convergence in topology, Duke Math. J. 17 (1950), 277–283. MR 36982
  • E. J. McShane, Partial orderings and Moore-Smith limits, Amer. Math. Monthly 59 (1952), 1–11. MR 47111, DOI 10.2307/2307181
  • L. L. Helms, Convergence properties of martingales indexed by directed sets, thesis, Purdue University, Lafayette, Ind., 1956.
  • Jean Dieudonné, Sur un théorème de Jessen, Fund. Math. 37 (1950), 242–248 (French). MR 43176, DOI 10.4064/fm-37-1-242-248
  • Nelson Dunford and J. D. Tamarkin, A principle of Jessen and general Fubini theorems, Duke Math. J. 8 (1941), 743–749. MR 5784
  • Paul R. Halmos, Measure Theory, D. Van Nostrand Co., Inc., New York, N. Y., 1950. MR 0033869
  • Nelson Dunford, A mean ergodic theorem, Duke Math. J. 5 (1939), 635–646. MR 98
  • C. Birindelli, Sul calcolo dell’integrale di Lebesgue del prodotto di due funzioni e applicazione I, Atti della Accademia Nazionale dei Lincei. Rendiconti. Classe di Scienze Fisiche Matematiche e Naturali (8) vol. 1 (1946).
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Additional Information
  • © Copyright 1958 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 87 (1958), 439-446
  • MSC: Primary 60.00
  • DOI: https://doi.org/10.1090/S0002-9947-1958-0094841-0
  • MathSciNet review: 0094841