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math.CA2026
Mean values, order, and convergence in the Hardy space of Dirichlet series
Ole Fredrik Brevig, Athanasios Kouroupis
Let denote the Hilbert space of Dirichlet series with square-summable coefficients. It follows from a theorem of Bohr that if in has a bounded a…
math.CA2026
Harald Bohr's splitting theorem
Viktor Andersson, Ole Fredrik Brevig, Athanasios Kouroupis
We present a new elementary proof of a theorem due to Harald Bohr, which states that an unbounded, analytic, and almost periodic function in a half-plane can be written as the sum…