Abstract
We study the Wiener–Ikehara theorem under the so-called log-linearly slowly decreasing condition. Moreover, we clarify the connection between two different hypotheses on the Laplace transform occurring in exact forms of the Wiener–Ikehara theorem, that is, in “if and only if” versions of this theorem.
Citation
Gregory Debruyne. Jasson Vindas. "Generalization of the Wiener–Ikehara theorem." Illinois J. Math. 60 (2) 613 - 624, Summer 2016. https://doi.org/10.1215/ijm/1499760025
Information
