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Yes. This is Satz XIV, p. 160 of Harald Bohr, Zur Theorie der Fastperiodischen Funktionen: II, Acta Math. 46 (1925) 101-214. (Page 162 attributes the quasi-periodic case to Bohl.)
Yes. This is Satz XIV, p. 160 of Harald Bohr, Zur Theorie der Fastperiodischen Funktionen: II, Acta Math. 46 (1925) 101-214.