Various definitions of spectrum of almost periodic functions

Girya, Nataliya PetrivnaFavorov, Sergei Yurievich2021-02-122021-02-122015Girya N. P. Various definitions of spectrum of almost periodic functions [Electronic resource] / N. P. Girya, S. Yu. Favorov // Ufa Mathematical Journal : electron. prof. sci. publ. – 2015. – Vol. 7, № 4. – P. 58-70. – URL: https://matem.anrb.ru/sites/default/files/files/vupe28/Girya.pdf, free (accessed 12.02.2021).https://repository.kpi.kharkov.ua/handle/KhPI-Press/50994We 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.enalmost periodic functionspectrumStepanov’s metricWeil’s metricBesicovitch’s metricBeurling’s spectrumVarious definitions of spectrum of almost periodic functionsArticledoi.org/10.13108/2015-7-4-58