On uniform approximation of Weyl and Besicovitch almost periodic functions
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 35 (2006) no. 1, pp. 33-48

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We suggest a new proof of the theorem on uniform approximation of Weyl almost periodic functions by elementary Weyl almost periodic functions. Analogous result is also obtained for Besicovitch almost periodic functions.
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L. I. Danilov. On uniform approximation of Weyl and Besicovitch almost periodic functions. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 35 (2006) no. 1, pp. 33-48. http://geodesic.mathdoc.fr/item/IIMI_2006_35_1_a1/