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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Spectral methods for a generalized probability theory
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by Stanley P. Gudder PDF
Trans. Amer. Math. Soc. 119 (1965), 428-442 Request permission
  • Georges Bodiou, Théorie dialectique des probabilités englobant leurs calculs classique et quantique, Traité de Physique Théorique et de Physique Mathématique, XX, Gauthier-Villars & Cie, Éditeur-Imprimeur-Libraire, Paris, 1964 (French). MR 0182990
  • —, Probabilité sur une treillis non modulair, Publ. Inst. Statist. Univ. Paris 6 (1957), 11-25.
  • Nelson Dunford and Jacob T. Schwartz, Linear operators. Part II: Spectral theory. Self adjoint operators in Hilbert space, Interscience Publishers John Wiley & Sons, New York-London, 1963. With the assistance of William G. Bade and Robert G. Bartle. MR 0188745
  • S. P. Gudder, A generalized probability model for quantum mechanics, Ph.D. Thesis, University of Illinois, Urbana, Ill., 1964. G. W. Mackey, The mathematical foundatious of quantum mechanics, Benjamin, New York, 1963. J. C. T. Pool, Simultaneous observability and the logic of quantum mechanics, Ph.D. Thesis, State University of Iowa, Iowa City, Iowa, 1963.
  • Angus E. Taylor, Introduction to functional analysis, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1958. MR 0098966
  • V. S. Varadarajan, Probability in physics and a theorem on simultaneous observability, Comm. Pure Appl. Math. 15 (1962), 189–217. MR 163616, DOI 10.1002/cpa.3160150207
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Additional Information
  • © Copyright 1965 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 119 (1965), 428-442
  • MSC: Primary 06.40
  • DOI:
  • MathSciNet review: 0183657