The differentiation operator in the space of unifornly convergent Dirichlet series

[EN] Continuity, compactness, the spectrum and ergodic properties of the differentiation operator are investigated, when it acts in the Frechet space of all Dirichlet series that are uniformly convergent in all half-planes {s is an element of C vertical bar Re s > epsilon} for each epsilon > 0. The properties of the formal inverse of the differentiation are also investigated.

This is the peer reviewed version of the following article: Bonet, J. The differentiation operator in the space of uniformly convergent Dirichlet series. Mathematische Nachrichten. 2020; 293: 1452-1458, which has been published in final form at https://doi.org/10.1002/mana.201900211. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.