[EN] 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 ...
The abscissas of convergence, uniform convergence and absolute
convergence of vector valued Dirichlet series with respect
to the original topology and with respect to the weak topology
σ(X, X
) of a locally convex space ...
[EN] Inspired by a recent article on Frechet spaces of ordinary Dirichlet series Sigma a(n)n(-s) due to J. Bonet, we study topological and geometrical properties of certain scales of Frechet spaces of general Dirichlet ...
Bonet Solves, José Antonio(John Wiley & Sons, 2020-08)
[EN] Continuity, compactness, the spectrum and ergodic properties of the differentiation operator are investigated, when it acts in the Frechet space of all Dirichlet series that are uniformly convergent in all half-planes ...
Bonet Solves, José Antonio(Cambridge University Press, 2018)
[EN] The algebra of all Dirichlet series that are uniformly convergent in the half-plane of complex numbers with positive real part is investigated. When it is endowed with its natural locally convex topology, it is a ...