Geodesic
Various definitions of the spectrum of almost periodic functions
Ufa mathematical journal, Tome 7 (2015) no. 4, pp. 58-70

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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. 
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     author = {N. P. Girya and S. Yu. Favorov},
     title = {Various definitions of the spectrum of almost periodic functions},
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N. P. Girya; S. Yu. Favorov. Various definitions of the spectrum of almost periodic functions. Ufa mathematical journal, Tome 7 (2015) no. 4, pp. 58-70. http://geodesic.mathdoc.fr/item/UFA_2015_7_4_a4/