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.
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September 3, 2026
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Articles
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| Keywords | Wiener–Ikehara theorem, boundary behavior of real part of Laplace transforms, log-linearly slowly decreasing functions, pseudofunctions, Blackwell's renewal theorem, power series, Ingham–Karamata theorem |
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| License |
Copyright (c) 2026 Annales Fennici Mathematici  This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |