I. Schoolmann

activity

20182024

most citedVector-valued general Dirichlet series

1 citations · 2 across the 3 of their papers we have counts for

collaborators

9 papers

math.FA2024

Hypercontractivity and strips of convergence in Hardy spaces of general Dirichlet series

Daniel Carando, Andreas Defant, Felipe Marceca +2

For a general Dirichlet series $\sum a_{n} e^{- λ_{n} s}$ with frequency $λ = (λ_{n})_{n}$ , we study how horizontal translation (i.e. convolution with a Poisson kernel) improves its integrabi…

math.FA2021★ 1 cited

Riesz summability on boundary lines of holomorphic functions generated by Dirichlet series

Andreas Defant, Ingo Schoolmann

A particular consequence of the famous Carleson-Hunt theorem is that the Taylor series expansions of bounded holomorphic functions on the open unit disk converge almost everywhere…

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…