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Home » Issues » Archive of Issues » 2013 - 4 issue » pp. 13-19

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Russia Izhevsk
Year
2013
Issue
4
Pages
13-19
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Section Mathematics
Title On the property of the closedness of the set of almost periodic functions
Author(-s) Banshchikova I.N.a, Popova S.N.a
Affiliations Udmurt State Universitya
Abstract We study the property of the closedness of the set of uniformly almost periodic functions with respect to the operation of addition. It is shown that the proof of this property found in the monograph by B.P. Demidovich “Lectures on the mathematical theory of stability” is not quite correct. A valid proof is given.
Keywords almost periodic functions, closedness
UDC 517.518.65
MSC 42A75
DOI 10.20537/vm130402
Received 28 October 2013
Language Russian
Citation Banshchikova I.N., Popova S.N. On the property of the closedness of the set of almost periodic functions, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2013, issue 4, pp. 13-19.
References
  1. Levitan B.M. Pochti-periodicheskie funktsii (Almost periodic functions), Moscow: Gostekhizdat, 1953, 396 p.
  2. Demidovich B.P. Lektsii po matematicheskoi teorii ustoichivosti (Lectures on the mathematical stability theory), Moscow: Nauka, 1967, 472 p.
  3. Besicovitch A.S. Almost periodic functions, Cambridge: Dover, 1954, 180 p.
Full text
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