8 citations · 14 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
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…
Carlson's theorem and vertical limit functions
Ole Fredrik Brevig, Athanasios Kouroupis
We extend a classical theorem of Carlson on moments of Dirichlet series from to . When combined with the ergodic theorem for the Kronecker flow, a coherent…
Almost periodicity and boundary values of Dirichlet series
Ole Fredrik Brevig, Athanasios Kouroupis, Karl-Mikael Perfekt
We employ almost periodicity to establish analogues of the Hardy--Stein identity and the Littlewood--Paley formula for Hardy spaces of Dirichlet series. A construction of Saksman a…