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.
From: Jasson Vindas [view email]
[v1]
Mon, 6 Nov 2023 10:40:21 UTC (14 KB)
[v2]
Fri, 3 Jan 2025 22:49:16 UTC (16 KB)
[v3]
Wed, 19 Feb 2025 19:17:37 UTC (15 KB)
[v4]
Thu, 3 Sep 2026 08:52:05 UTC (16 KB)
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