Generalizations of Koga’s version of the Wiener–Ikehara theorem
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 Koga (2021). As an application, we give a quick Tauberian proof of Blackwell's renewal theorem.
Fields of Study & Subjects
advanced mathematical theories
Spectral Theory in Mathematical Physics
Advanced Mathematical Modeling in Engineering
Publication details
- Journal / source
- Annales Fennici Mathematici
- Volume
- 51
- Issue
- 2
- Pages
- 597–611
- Publication date
- 3 September 2026
- Language
- EN