Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Analytic mean periodic functions


Author: D. G. Dickson
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
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] Ralph Philip Boas Jr., Entire functions, Academic Press Inc., New York, 1954. MR 0068627
  • [2] J. Delsarte, Les fonctions moyenne-périodiques, J. Math. Pures Appl. (9) 14 (1935), 403-453.
  • [3] -, Lectures on topics in mean periodic functions and the two-radius theorem, Tata Institute of Fundamental Research, Bombay, 1961.
  • [4] Douglas G. Dickson, Expansions in series of solutions of linear difference-differential and infinite order differential equations with constant coefficients, Mem. Amer. Math. Soc. No. 23 (1957), 72. MR 0090731
  • [5] 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
  • [6] J. P. Kahane, Lectures on mean periodic functions, Tata Institute of Fundamental Research, Bombay, 1958.
  • [7] Gottfried Köthe, Dualität in der Funktionentheorie, J. Reine Angew. Math. 191 (1953), 30–49 (German). MR 0056824, https://doi.org/10.1515/crll.1953.191.30
  • [8] 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
  • [9] Laurent Schwartz, Théorie générale des fonctions moyenne-périodiques, Ann. of Math. (2) 48 (1947), 857–929 (French). MR 0023948, https://doi.org/10.2307/1969386
  • [10] E. C. Titchmarsh, The theory of functions, 2nd ed., Oxford Univ. Press, London, 1939.
  • [11] 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

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 30.24

Retrieve articles in all journals with MSC: 30.24


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1964-0167608-5
Article copyright: © Copyright 1964 American Mathematical Society

American Mathematical Society