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Mathematics > Complex Variables

arXiv:1804.10268 (math)
[Submitted on 26 Apr 2018]

Title:An Ikehara-type theorem for functions convergent to zero

Authors:Dmitri Finkelshtein, Pasha Tkachov
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Abstract:We prove an analogue of the Ikehara theorem for positive non-increasing functions convergent to zero, generalising the results postulated in Diekmann, Kaper (1978, Nonlinear Anal. 2(6), 721--737) and Carr, Chmaj (2004, Proc. AMS 132(8), 2433--2439).
Subjects: Complex Variables (math.CV); Mathematical Physics (math-ph); Analysis of PDEs (math.AP)
MSC classes: 40E05, 44A10, 35B40
Cite as: arXiv:1804.10268 [math.CV]
  (or arXiv:1804.10268v1 [math.CV] for this version)
  https://doi.org/10.48550/arXiv.1804.10268

Submission history

From: Dmitri Finkelshtein L [view email]
[v1] Thu, 26 Apr 2018 20:05:17 UTC (7 KB)
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