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Ufa Mathematical Journal, 2015, Volume 7, Issue 4, Pages 58–70
DOI: https://doi.org/10.13108/2015-7-4-58 (Mi ufa301) 		 
Various definitions of the spectrum of almost periodic functions

N. P. Girya, S. Yu. Favorov

V. N. Karazin Kharkiv National University, Kharkiv, Ukraine
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DOI: https://doi.org/10.13108/2015-7-4-58
Abstract: We consider various definitions of spectrum for almost periodic functions in a finite dimensional space for uniform, Stepanov, Weil, Besicovitch metrics. We prove that in these cases the classical definition of spectrum is equivalent to an analogue of definition of Beurling spectrum.
Keywords: almost periodic function, spectrum, Stepanov metric, Weil metric, Besicovitch metric, Beurling spectrum.
Received: 25.08.2015
Russian version:
Ufimskii Matematicheskii Zhurnal, 2015, Volume 7, Issue 4, Pages 61–74
Bibliographic databases:
Document Type: Article
UDC: 517.518.6
MSC: 42А75, 30В50
Language: English
Original paper language: Russian
Citation: N. P. Girya, S. Yu. Favorov, “Various definitions of the spectrum of almost periodic functions”, Ufimsk. Mat. Zh., 7:4 (2015), 61–74; Ufa Math. J., 7:4 (2015), 58–70
Citation in format AMSBIB
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  • https://doi.org/10.13108/2015-7-4-58
  • https://www.mathnet.ru/eng/ufa/v7/i4/p61
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    Abstract page:280
    Russian version PDF:118
    English version PDF:14
    References:47
     
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