Analytic mean periodic functions
HTML articles powered by AMS MathViewer
- by D. G. Dickson
- Trans. Amer. Math. Soc. 110 (1964), 361-374
- DOI: https://doi.org/10.1090/S0002-9947-1964-0167608-5
- PDF | Request permission
References
- Ralph Philip Boas Jr., Entire functions, Academic Press, Inc., New York, 1954. MR 0068627 J. Delsarte, Les fonctions moyenne-périodiques, J. Math. Pures Appl. (9) 14 (1935), 403-453. —, Lectures on topics in mean periodic functions and the two-radius theorem, Tata Institute of Fundamental Research, Bombay, 1961.
- 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
Bibliographic 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