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The differentiation operator in the space of uniformly convergent Dirichlet series

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  • José Bonet

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.

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  • José Bonet, 2020. "The differentiation operator in the space of uniformly convergent Dirichlet series," Mathematische Nachrichten, Wiley Blackwell, vol. 293(8), pages 1452-1458, August.
    • Handle: RePEc:bla:mathna:v:293:y:2020:i:8:p:1452-1458
    DOI: 10.1002/mana.201900211
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