I. Schoolmann

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20182020

most citedVector-valued general Dirichlet series

1 citations · 1 across the 1 of their papers we have counts for

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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★ 1 cited

Vector-valued general Dirichlet series

D. Carando, A. Defant, F. Marceca +1

Opened up by early contributions due to, among others, H. Bohr, Hardy-Riesz, Bohnenblust-Hille, Neder and Landau the last 20 years show a substantial revival of systematic research…

math.FA2019

Variants of a theorem of Helson on general Dirichlet series

Andreas Defant, Ingo Schoolmann

A result of Helson on general Dirichlet series $\sum a_{n} e^{- λ_{n} s}$ states that, whenever $(a_{n})$ is $2$ -summable and $λ = (λ_{n})$ satisfies a certain condition introduced by…

math.FA2019

Riesz means in Hardy spaces on Dirichlet groups

Andreas Defant, Ingo Schoolmann

Given a frequency $λ = (λ_{n})$ , we study when almost all vertical limits of a $H_{1}$ -Dirichlet series $\sum a_{n} e^{- λ_{n} s}$ are Riesz-summable almost everywhere on the imagina…

math.FA2019

Henry Helson meets other big shots -- A brief survey

Andreas Defant, Ingo Schoolmann

A theorem of Henry Helson shows that for every ordinary Dirichlet series $\sum a_{n} n^{- s}$ with a square summable sequence $(a_{n})$ of coefficients, almost all vertical limits $\sum…

math.FA2019

Hardy spaces of general Dirichlet series - a survey

Andreas Defant, Ingo Schoolmann

The main purpose of this article is to survey on some key elements of a recent $H_{p}$ -theory of general Dirichlet series $\sum a_{n} e^{- λ_{n} s}$ , which was mainly inspired…