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arxiv: 1812.01398 · v2 · pith:IGACEQSCnew · submitted 2018-12-04 · 🧮 math.FA

A note on abscissas of Dirichlet series

classification 🧮 math.FA
keywords abscissasdirichletseriesabstractapproachconsequenceconvergencededuce
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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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