Article
Ufa Mathematical Journal
Volume 7, Number 4, pp. 58-70
Various definitions of spectrum of almost periodic functions
Favorov S.Yu., Girya N.P.
DOI:10.13108/2015-7-4-58
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We consider various definitions of the
spectrum for almost periodic functions in a finite dimensional
space for uniform, Stepanov's, Weil's, Besicovitch's metrics. We
prove that in these cases the classical definition of spectrum is
equivalent to an analogue of definition of Beurling's spectrum.