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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.


Causality and analyticity
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by Y. Fourès and I. E. Segal PDF
Trans. Amer. Math. Soc. 78 (1955), 385-405 Request permission
  • S. Bochner, Bounded Analytic Functions in Several Variables and Multiple Laplace Integrals, Amer. J. Math. 59 (1937), no. 4, 732–738. MR 1507275, DOI 10.2307/2371340
  • S. Bochner, Group invariance of Cauchy’s formula in several variables, Ann. of Math. (2) 45 (1944), 686–707. MR 11131, DOI 10.2307/1969297
  • Salomon Bochner and William Ted Martin, Several Complex Variables, Princeton Mathematical Series, vol. 10, Princeton University Press, Princeton, N. J., 1948. MR 0027863
  • Lars Gårding, Linear hyperbolic partial differential equations with constant coefficients, Acta Math. 85 (1951), 1–62. MR 41336, DOI 10.1007/BF02395740
  • Jean Leray, Symbolic calculus for several variables and boundary value problems for differential equations, Lectures at the Institute for Advanced Study, 1951-52.
  • Jean Leray, Les solutions élémentaires d’une équation aux dérivées partielles, à coefficients constants, C. R. Acad. Sci. Paris 234 (1952), 1112–1115 (French). MR 51423
  • Raymond E. A. C. Paley and Norbert Wiener, Fourier transforms in the complex domain, American Mathematical Society Colloquium Publications, vol. 19, American Mathematical Society, Providence, RI, 1987. Reprint of the 1934 original. MR 1451142, DOI 10.1090/coll/019
  • I. E. Segal, A non-commutative extension of abstract integration, Ann. of Math. (2) 57 (1953), 401–457. MR 54864, DOI 10.2307/1969729
  • Norbert Wiener, Extrapolation, Interpolation, and Smoothing of Stationary Time Series. With Engineering Applications, Technology Press of The Massachusetts Institute of Technology, Cambridge, Mass.; John Wiley & Sons, Inc., New York, N.Y.; Chapman & Hall, Ltd., London, 1949. MR 0031213, DOI 10.7551/mitpress/2946.001.0001
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Additional Information
  • © Copyright 1955 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 78 (1955), 385-405
  • MSC: Primary 46.0X
  • DOI:
  • MathSciNet review: 0069401