English

Multidimensional Widder--Arendt theorem in locally convex spaces

Functional Analysis 2025-11-25 v1

Abstract

In this research article, we formulate and prove multidimensional Widder--Arendt theorem and integrated form of multidimensional Widder--Arendt theorem for functions with values in sequentially complete locally convex spaces. Established results seem to be new even for scalar-valued functions.

Keywords

Cite

@article{arxiv.2511.17510,
  title  = {Multidimensional Widder--Arendt theorem in locally convex spaces},
  author = {Marko Kostic},
  journal= {arXiv preprint arXiv:2511.17510},
  year   = {2025}
}
R2 v1 2026-07-01T07:49:13.031Z