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Translated from Matematicheskie Zametki, Vol. 47, No. 5, pp. 106–115, May, 1990.
The author wishes to thank S. B. Kuksin for pointing out an interesting application of the problems treated in this paper; he also wishes to thank I. N. Blinov and Yu. B. Suris for a useful discussion of this paper.
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Tarkhov, D.A. Integration of almost-periodic functions and infinite-dimensional theory of diophantine approximations. Mathematical Notes of the Academy of Sciences of the USSR 47, 495–502 (1990). https://doi.org/10.1007/BF01158094
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DOI: https://doi.org/10.1007/BF01158094