A quantified Tauberian theorem for the Laplace-Stieltjes transform

作者：Hartlapp Markus^*

来源：ARCHIV DER MATHEMATIK, 2018, 111(1): 71-83.

DOI：10.1007/s00013-018-1164-2

• Tauberian theorem
• Rates of decay
• Laplace-Stieltjes transform

We prove a quantified Tauberian theorem involving the 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.

• 出版日期2018-7