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.