English

On the Laplace transform

Complex Variables 2024-11-21 v1

Abstract

Sufficient conditions are given for a function F(p)F(p) to be the Laplace transform of a function f(t)f(t) or a distribution ff. No assumption on ff is given a priori. It is not even assumed that f=0f=0 for t<0t<0.

Keywords

Cite

@article{arxiv.2411.12932,
  title  = {On the Laplace transform},
  author = {Alexander G. Ramm},
  journal= {arXiv preprint arXiv:2411.12932},
  year   = {2024}
}
R2 v1 2026-06-28T20:05:42.368Z