3 papers
math.CA2026
The Littlewood-Paley formula and mean counting function for vertical limits of Dirichlet series
Viktor Andersson
We prove a Littlewood-Paley formula for the Hardy space of Dirichlet series with in terms of almost every vertical limit function. This significant…
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…
math.FA2025
Montel's theorem and composition operators for analytic almost periodic functions
Viktor Andersson
We consider the Banach space of bounded analytic functions on the open right half-plane that are almost periodic on some small…