Tomás Fernández Vidal

collaborators

3 papers

math.FA2020

Fréchet spaces of general Dirichlet series

Andreas Defant, Tomas Fernandez-Vidal, Ingo Schoolmann +1

Inspired by a recent article on Fréchet spaces of ordinary Dirichlet series $\sum a_{n} n^{- s}$ due to J.~Bonet, we study topological and geometrical properties of certain scales of…

math.FA2020

A Montel-type theorem for Hardy spaces of holomorphic functions

Tomás Fernández Vidal, Daniel Galicer, Pablo Sevilla-Peris

We give a version of the Montel theorem for Hardy spaces of holomorphic functions on an infinite dimensional space. As a by-product, we provide a Montel-type theorem for the Hardy…

math.FA2020

Hardy space of translated Dirichlet series

Tomás Fernández Vidal, Daniel Galicer, Martín Mereb +1

We study the Hardy space of translated Dirichlet series $H_{+}$ . It consists on those Dirichlet series $\sum a_{n} n^{- s}$ such that for some (equivalently, every) $1 \leq…