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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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Tauberian theorems and slowly varying functions
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by David Drasin PDF
Trans. Amer. Math. Soc. 133 (1968), 333-356 Request permission
References
  • Albert Edrei and Wolfgang H. J. Fuchs, The deficiencies of meromorphic functions of order less than one, Duke Math. J. 27 (1960), 233–249. MR 123717
  • Albert Edrei and W. H. J. Fuchs, Tauberian theorems for a class of meromorphic functions with negative zeros and positive poles, Contemporary Problems in Theory Anal. Functions (Internat. Conf., Erevan, 1965) Izdat. “Nauka”, Moscow, 1966, pp. 339–358. MR 0213561
  • William Feller, On the classical Tauberian theorems, Arch. Math. (Basel) 14 (1963), 317–322. MR 155131, DOI 10.1007/BF01234960
  • William Feller, An introduction to probability theory and its applications. Vol. II, John Wiley & Sons, Inc., New York-London-Sydney, 1966. MR 0210154
  • G. H. Hardy and W. W. Rogosinski, Notes on Fourier series. III. Asymptotic formulae for the sums of certain trigonometrical series, Quart. J. Math. Oxford Ser. 16 (1945), 49–58. MR 14159, DOI 10.1093/qmath/os-16.1.49
  • J. Karamata, Sur un mode de croissance régulière des fonctions, Mathematica (Cluj) 4 (1930), 38-53.
  • J. Karamata, Neuer Beweis und Verallgemeinerung einiger Tauberian-Sätze, Math. Z. 33 (1931), no. 1, 294–299 (German). MR 1545213, DOI 10.1007/BF01174355
  • E. C. Titchmarsh, The theory of functions, Oxford Univ. Press, New York, 1939, p. 271.
  • G. Valiron, Sur les fonctions entières d’ordre nul et d’ordre fini et en particulier les fonctions à correspondance régulière, Ann. Fac. Sci. Toulouse Sci. Math. Sci. Phys. (3) 5 (1913), 117–257 (French). MR 1508338
  • D. Widder, The Laplace transform, Princeton Univ. Press, Princeton, N. J., 1941, p. 244.
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Additional Information
  • © Copyright 1968 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 133 (1968), 333-356
  • MSC: Primary 30.57; Secondary 40.00
  • DOI: https://doi.org/10.1090/S0002-9947-1968-0226017-4
  • MathSciNet review: 0226017