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arXiv · 1812.01398

A note on abscissas of Dirichlet series

Andreas Defant·Antonio Pérez·Pablo Sevilla-Peris
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Abstract

We present an abstract approach to the abscissas of convergence of vector-valued Dirichlet series. As a consequence we deduce that the abscissas for Hardy spaces of Dirichlet series are all equal. We also introduce and study weak versions of the abscissas for scalar-valued Dirichlet series.

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Andreas Defant, Antonio Pérez, Pablo Sevilla-Peris. 2019-03-20. A note on abscissas of Dirichlet series. https://doi.org/10.1007/s13398-019-00647-y

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