An Ikehara-type theorem for functions convergent to zero
Complex Variables
2018-04-30 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We prove an analogue of the Ikehara theorem for positive non-increasing functions convergent to zero, generalising the results postulated in Diekmann, Kaper (1978, Nonlinear Anal. 2(6), 721--737) and Carr, Chmaj (2004, Proc. AMS 132(8), 2433--2439).
Cite
@article{arxiv.1804.10268,
title = {An Ikehara-type theorem for functions convergent to zero},
author = {Dmitri Finkelshtein and Pasha Tkachov},
journal= {arXiv preprint arXiv:1804.10268},
year = {2018}
}