An Ikehara-type theorem for functions convergent to zero

Dmitri Finkelshtein; Pasha Tkachov

arxiv: 1804.10268 · v1 · pith:MQLALTRYnew · submitted 2018-04-26 · 🧮 math.CV · math-ph· math.AP· math.MP

An Ikehara-type theorem for functions convergent to zero

Dmitri Finkelshtein , Pasha Tkachov This is my paper

classification 🧮 math.CV math-phmath.APmath.MP

keywords convergentfunctionstheoremzeroanalanaloguecarrchmaj

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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).

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An Ikehara-type theorem for functions convergent to zero

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