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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.

 

The inversion of the generalized Fourier transform by Abelian summability
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by Jerome Blackman PDF
Trans. Amer. Math. Soc. 78 (1955), 19-29 Request permission
References
  • S. Bochner, Darstellung reellvariabler und analytischer Funktionen durch verallgemeinerte Fourier- und Laplace-Integrale, Math. Ann. 97 (1927), no. 1, 635–662 (German). MR 1512380, DOI 10.1007/BF01447886
  • —, Vorlesungen über Fouriersche Integrale, Leipzig, 1932.
  • S. Bochner and K. Chandrasekharan, Fourier Transforms, Annals of Mathematics Studies, No. 19, Princeton University Press, Princeton, N. J.; Oxford University Press, London, 1949. MR 0031582
  • H. R. Pitt, On Wiener’s general harmonic analysis, Proc. London Math. Soc. 46 (1939), 1–18. MR 0000857, DOI 10.1112/plms/s2-46.1.1
  • L. Schwartz, Théorie des distributions, vols. 1 and 2, Paris, 1950. E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford, 1948.
  • Norbert Wiener, Generalized harmonic analysis, Acta Math. 55 (1930), no. 1, 117–258. MR 1555316, DOI 10.1007/BF02546511
  • A. Zygmund and A. P. Calderón, Contributions to Fourier analysis, Annals of Mathematics Studies, no. 25, Princeton, 1950, pp. 166-188.
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Additional Information
  • © Copyright 1955 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 78 (1955), 19-29
  • MSC: Primary 42.4X
  • DOI: https://doi.org/10.1090/S0002-9947-1955-0066481-8
  • MathSciNet review: 0066481