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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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Analytic mean periodic functions
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by D. G. Dickson PDF
Trans. Amer. Math. Soc. 110 (1964), 361-374 Request permission
References
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  • Douglas G. Dickson, Expansions in series of solutions of linear difference-differential and infinite order differential equations with constant coefficients, Mem. Amer. Math. Soc. 23 (1957), 72. MR 90731
  • A. O. Gel′fond, Linear differential equations of infinite order with constant coefficients and asymptotic periods of entire functions, Amer. Math. Soc. Translation 1953 (1953), no. 84, 31. MR 0053220
  • J. P. Kahane, Lectures on mean periodic functions, Tata Institute of Fundamental Research, Bombay, 1958.
  • Gottfried Köthe, Dualität in der Funktionentheorie, J. Reine Angew. Math. 191 (1953), 30–49 (German). MR 56824, DOI 10.1515/crll.1953.191.30
  • A. F. Leont′ev, On properties of sequences of linear aggregates that converge in a region in which the system of functions generating the lienar aggregates is not complete, Uspehi Mat. Nauk (N.S.) 11 (1956), no. 5(71), 26–37 (Russian). MR 0083574
  • Laurent Schwartz, Théorie générale des fonctions moyenne-périodiques, Ann. of Math. (2) 48 (1947), 857–929 (French). MR 23948, DOI 10.2307/1969386
  • E. C. Titchmarsh, The theory of functions, 2nd ed., Oxford Univ. Press, London, 1939.
  • Georges Valiron, Sur les solutions des équations différentielles linéaires d’ordre infini et à coefficients constants, Ann. Sci. École Norm. Sup. (3) 46 (1929), 25–53 (French). MR 1509291
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Additional Information
  • © Copyright 1964 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 110 (1964), 361-374
  • MSC: Primary 30.24
  • DOI: https://doi.org/10.1090/S0002-9947-1964-0167608-5
  • MathSciNet review: 0167608