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arXiv · 1711.07892

A quantified Tauberian theorem for Laplace-Stieltjes transform

Markus Hartlapp
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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.

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BibTeXRIS

Markus Hartlapp. 2017-11-21. A quantified Tauberian theorem for Laplace-Stieltjes transform. https://doi.org/10.1007/s00013-018-1164-2

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