The differentiation operator in the space of uniformly convergent Dirichlet series
Functional Analysis
2020-03-12 v1
Abstract
Continuity, compactness, the spectrum and ergodic properties of the differentiation operator are investigated, when it acts in the Fr\'echet space of all Dirichlet series that are uniformly convergent in all half-planes for each . The properties of the formal inverse of the differentiation are also investigated.
Keywords
Cite
@article{arxiv.2003.05411,
title = {The differentiation operator in the space of uniformly convergent Dirichlet series},
author = {José Bonet},
journal= {arXiv preprint arXiv:2003.05411},
year = {2020}
}
Comments
This article is accepted for publication in Mathematische Nachrichten. 8 pages