The differentiation operator in the space of uniformly convergent Dirichlet series

José Bonet

Mathematische Nachrichten, 2020, vol. 293, issue 8, 1452-1458

Abstract: Continuity, compactness, the spectrum and ergodic properties of the differentiation operator are investigated, when it acts in the Fréchet space of all Dirichlet series that are uniformly convergent in all half‐planes {s∈C|Res>ε} for each ε>0. The properties of the formal inverse of the differentiation are also investigated.

Date: 2020
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https://doi.org/10.1002/mana.201900211

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