A quantified Tauberian theorem for Laplace-Stieltjes transform
Functional Analysis
2018-08-14 v1
Abstract
We prove a quantified Tauberian theorem involving Laplace-Stieltjes transform which is motivated by the work of Ingham and Karamata. For this, we consider functions which are locally of bounded variation and, therefore, get a generalisation of some results of Batty and Duyckaerts. We show that our theorem can be applied to special Dirichlet series.
Cite
@article{arxiv.1711.07892,
title = {A quantified Tauberian theorem for Laplace-Stieltjes transform},
author = {Markus Hartlapp},
journal= {arXiv preprint arXiv:1711.07892},
year = {2018}
}
Comments
13 pages, no figures