A. Debrouwere

activity

20152026

most citedOn weighted inductive limits of spaces of ultradifferentiable functions and their duals

18 citations · 115 across the 44 of their papers we have counts for

collaborators

Showing 2019Show all

9 papers · 1 filter

math.FA2019★ 2 cited

On the projective description of spaces of ultradifferentiable functions of Roumieu type

Andreas Debrouwere, Bojan Prangoski, Jasson Vindas

We provide a projective description of the space $E^{{M}} (Ω)$ of ultradifferentiable functions of Roumieu type, where $Ω$ is an arbitrary open set in $\mathb…

math.FA2019

On the space of Laplace transformable distributions

Andreas Debrouwere, Eduard A. Nigsch

We show that the space $S^{'} (Γ)$ of Laplace transformable distributions, where $Γ \subseteq R^{d}$ is a non-empty convex open set, is an ultrabornological (PLS)-space…

math.FA2019★ 1 cited

The nuclearity of Gelfand-Shilov spaces and kernel theorems

Andreas Debrouwere, Lenny Neyt, Jasson Vindas

We study the nuclearity of the Gelfand-Shilov spaces $S_{(W)}^{(M)}$ and $S_{{W}}^{{M}}$ , defined via a weight (mu…

math.FA2019★ 4 cited

Characterization of nuclearity for Beurling-Björck spaces

Andreas Debrouwere, Lenny Neyt, Jasson Vindas

We characterize the nuclearity of the Beurling-Björck spaces $S_{(η)}^{(ω)} (R^{d})$ and $S_{{η}}^{{ω}} (R^{d})$ in terms of the defining weight…

math.FA2019★ 2 cited

On the space of ultradistributions vanishing at infinity

Andreas Debrouwere, Lenny Neyt, Jasson Vindas

We study the structural and linear topological properties of the space $B ˙_{ω}^{' *}$ of ultradistributions vanishing at infinity (with respect to a weight fun…

math.FA2019

Solution to the Stieltjes moment problem in Gelfand-Shilov spaces

Andreas Debrouwere

We characterize the surjectivity and the existence of a continuous linear right inverse of the Stieltjes moment mapping on Gelfand-Shilov spaces, both of Beurling and Roumieu type,…

math.FA2019

A linear topological invariant for spaces of quasianalytic functions of Roumieu type

Andreas Debrouwere

We show that the spaces $E_{{ω}} (Ω)$ of ultradifferentiable functions of Roumieu type satisfy the dual interpolation estimate for small theta, where $ω$ is a quasianaly…

math.FA2019★ 1 cited

Injectivity and surjectivity of the Stieltjes moment mapping in Gelfand-Shilov spaces

Andreas Debrouwere, Javier Jiménez-Garrido, Javier Sanz

The Stieltjes moment problem is studied in the framework of general Gelfand-Shilov spaces defined via weight sequences. We characterize the injectivity and surjectivity of the Stie…

math.FA2019

Quasinormable $C_{0}$ -groups and translation-invariant Fréchet spaces of type $D_{E}$

Andreas Debrouwere

Let $E$ be a locally convex Hausdorff space satisfying the convex compact property and let $(T_{x})_{x \in R^{d}}$ be a locally equicontinuous $C_{0}$ -group of linear continuous…

On the projective description of spaces of ultradifferentiable functions of Roumieu type

On the space of Laplace transformable distributions

The nuclearity of Gelfand-Shilov spaces and kernel theorems

Characterization of nuclearity for Beurling-Björck spaces

On the space of ultradistributions vanishing at infinity

Solution to the Stieltjes moment problem in Gelfand-Shilov spaces

A linear topological invariant for spaces of quasianalytic functions of Roumieu type

Injectivity and surjectivity of the Stieltjes moment mapping in Gelfand-Shilov spaces

Quasinormable C0​-groups and translation-invariant Fréchet spaces of type DE​

Quasinormable $C_{0}$ -groups and translation-invariant Fréchet spaces of type $D_{E}$