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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.

 

Positive temperatures on an infinite rod
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by D. V. Widder PDF
Trans. Amer. Math. Soc. 55 (1944), 85-95 Request permission
References
    Doetsch, Les équations aux derivées partielles du type parabolique, L’Enseignement Mathematique vol. 35 (1936). B. J. Fourier, Théorie analytique de la chaleur, Paris, 1822. Goursat, Cours d’analyse mathématique, Paris, 1923, vol. 3, chap. 29. Herglotz, Über Potenzreihen mit positivem reelen Teil im Einheitskreis, Berichte über die Verhandlungen der königlich Sächsischen Gesellschaft der Wissenschaften zu Leipzig, mathematisch-physische Klasse vol. 63 [6-9] (1911) pp. 501-511. S. Laplace, Memoire sur divers points d’analyse, J. École Polytech. vol. 8, Cahier 15 (1809).
  • L. H. Loomis and D. V. Widder, The Poisson integral representation of functions which are positive and harmonic in a half-plane, Duke Math. J. 9 (1942), 643–645. MR 7200, DOI 10.1215/S0012-7094-42-00944-X
  • D. Poisson, Théorie mathématique de la chaleur, Paris, 1835. Täcklind, Sur les classes quasianalytiques des solutions des équations aux dérivées partielles du type parabolique. Doctor’s thesis, Uppsala, 1936. Also Nova Acta Regiae Societatis Scientiarum Upsaliensis (4) vol. 10 (1936) pp. 1-57. C. Titchmarsh, The theory of Fourier integrals, Oxford, 1937. Tychonoff, Théorèmes d’unicité pour l’équation de la chaleur, Rec. Math. (Mat. Sbornik) vol. 42 (1935). Weierstrass, Über die analytische Darstellbarkeit sogenannter willkürlicher Functionen reeller Argumente, Sitzungsberichte der Berliner Akademie, 1885.
  • David Vernon Widder, The Laplace Transform, Princeton Mathematical Series, vol. 6, Princeton University Press, Princeton, N. J., 1941. MR 0005923
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Additional Information
  • © Copyright 1944 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 55 (1944), 85-95
  • MSC: Primary 36.0X
  • DOI: https://doi.org/10.1090/S0002-9947-1944-0009795-2
  • MathSciNet review: 0009795