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Almost-periodic functions with unbounded integral

Almost-periodic functions with unbounded integral

Let B be an almost-periodic (a.p.) function with mean S t B(s)ds.The well-known theorem 0 of Bohr states that Git) is uniformly bounded iff Git) is a.p.This theorem may be reformulated in the following way.Let Ω be the hull of B, and let (Ω, R) be the flow on Ω …