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Generalizations of Koga's version of the Wiener-Ikehara theorem

Published 6 Nov 2023 in math.CV, math.CA, math.NT, and math.PR | (2311.03013v3)

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.

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Authors (2)

  1. Bin Chen 
  2. Jasson Vindas 

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