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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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Complex-valued stable measures and their domains of attraction
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by Ludwig Arnold and Johannes Michalicek PDF
Trans. Amer. Math. Soc. 135 (1969), 143-158 Request permission
References
    L. Arnold and J. Michalicek, Complex-valued stable measures and their domains of attraction, Tech. Summary Rep. No. 805, Math. Res. Center, Univ. of Wisconsin, Madison, 1967.
  • Ludwig Arnold and Johannes Michalicek, On the norm of stable measures, Bull. Amer. Math. Soc. 74 (1968), 364–368. MR 225104, DOI 10.1090/S0002-9904-1968-11956-1
  • Harald Bergström, Limit theorems for convolutions, Almqvist & Wiksell, Stockholm-Göteborg-Uppsala; John Wiley & Sons, New York-London, 1963. MR 0161363
  • A. Beurling, Sur les intégrales de Fourier absolument convergentes et leur application à une transformation fonctionelle, Neuvième Congrès des Math. Scand., 1938, pp. 345-366.
  • Arne Beurling and Henry Helson, Fourier-Stieltjes transforms with bounded powers, Math. Scand. 1 (1953), 120–126. MR 58009, DOI 10.7146/math.scand.a-10371
  • William Feller, An introduction to probability theory and its applications. Vol. II, John Wiley & Sons, Inc., New York-London-Sydney, 1966. MR 0210154
  • B. W. Gnedenko and A. N. Kolmogorov, Grenzverteilungen von Summen unabhängiger Zufallsgrössen, Mathematische Lehrbücher und Monographien, II. Abt., Bd. IX, Akademie-Verlag, Berlin, 1959 (German). Wissenschaftliche Bearbeitung der deutschen Ausgabe: Prof. Dr. Josef Heinhold. MR 0107295
  • Edwin Hewitt and Karl Stromberg, Real and abstract analysis, Graduate Texts in Mathematics, No. 25, Springer-Verlag, New York-Heidelberg, 1975. A modern treatment of the theory of functions of a real variable; Third printing. MR 0367121
  • J. Karamata, Sur un mode de croissance régulière des fonctions, Mathematica 4 (1930), 38-53.
  • D. I. Ljalina and Ju. P. Studnev, Limit distributions for functions of class $\textrm {V}$ in a multiplicative scheme, First Republ. Math. Conf. of Young Researchers, Part II (Russian), Akad. Nauk Ukrain. SSR Inst. Mat., Kiev, 1965, pp. 424–431 (Russian). MR 0192534
  • Eugene Lukacs, Characteristic functions, Griffin’s Statistical Monographs & Courses, No. 5, Hafner Publishing Co., New York, 1960. MR 0124075
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  • E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford Univ. Press, Oxford, 1937.
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Additional Information
  • © Copyright 1969 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 135 (1969), 143-158
  • MSC: Primary 28.65; Secondary 42.00
  • DOI: https://doi.org/10.1090/S0002-9947-1969-0237746-1
  • MathSciNet review: 0237746