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Approximation of almost periodic functions by periodic ones. (English) Zbl 0953.42005

From the author’s summary: It is not the purpose of this paper to construct approximations but to establish a class of almost periodic functions which can be approximated, with an arbitrarily prescribed accuracy, by continuous periodic functions uniformly on \({\mathbb{R}} = (-\infty,+\infty)\).
Reviewer: A.Kufner (Praha)

MSC:

42A75 Classical almost periodic functions, mean periodic functions
41A30 Approximation by other special function classes
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References:

[1] Amerio, L. - Prouse, G.: Almost Periodic Functions and Functional Equations. N.Y. Van Nostrand Reihold Company, 1971. · Zbl 0215.15701
[2] Bohr, H.: Zur Theorie der fastperiodischen Funktionen, I, II, III Teil. 1925.
[3] Coppel, W. A.: Almost periodic properties of ordinary differential equations. Ann. Mat. Pura Appl. 76 (1963). · Zbl 0153.12301 · doi:10.1007/BF02412227
[4] Levitan, B. M.: Almost Periodic Functions. G.I.T.L. Moscow, 1953. · Zbl 1222.42002
[5] Levitan, B. M. - Zikov, V. V.: Almost Periodic Functions and Differential Equations. I. M. U. Moscow, 1978. ()
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