English

On the space of Laplace transformable distributions

Functional Analysis 2019-10-04 v1

Abstract

We show that the space S(Γ)\mathcal{S}'(\Gamma) of Laplace transformable distributions, where ΓRd\Gamma \subseteq \mathbb{R}^d is a non-empty convex open set, is an ultrabornological (PLS)-space. Moreover, we determine an explicit topological predual of S(Γ)\mathcal{S}'(\Gamma).

Cite

@article{arxiv.1910.01388,
  title  = {On the space of Laplace transformable distributions},
  author = {Andreas Debrouwere and Eduard A. Nigsch},
  journal= {arXiv preprint arXiv:1910.01388},
  year   = {2019}
}

Comments

10 pages

R2 v1 2026-06-23T11:33:34.367Z