Generalizations of Koga's version of the Wiener-Ikehara theorem
arXiv:2311.03013 · doi:10.54330/afm.188536
Abstract
We establish new versions of the Wiener-Ikehara theorem where only boundary assumptions on the real part of the Laplace transform are imposed. Our results generalize and improve a recent theorem of T. Koga [J. Fourier Anal. Appl. 27 (2021), Article No. 18]. As an application, we give a quick Tauberian proof of Blackwell's renewal theorem.
16 pages