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Generalization of the Wiener-Ikehara theorem

Gregory Debruyne UGent and Jasson Vindas Diaz UGent (2016) ILLINOIS JOURNAL OF MATHEMATICS. 60(2). p.613-624
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.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
Exact Wiener-Ikehara theorem, log-linearly slowly decreasing functions, pseudofunctions, pseudomeasures, Laplace transform
journal title
ILLINOIS JOURNAL OF MATHEMATICS
Ill. J. Math.
volume
60
issue
2
pages
613 - 624
ISSN
0019-2082
language
English
UGent publication?
yes
classification
A2
copyright statement
I have transferred the copyright for this publication to the publisher
id
8529936
handle
http://hdl.handle.net/1854/LU-8529936
alternative location
https://projecteuclid.org/euclid.ijm/1499760025
date created
2017-08-30 15:07:49
date last changed
2017-11-08 14:32:02
@article{8529936,
  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 {\textacutedbl}if and only if{\textacutedbl} versions of this theorem.},
  author       = {Debruyne, Gregory and Vindas Diaz, Jasson},
  issn         = {0019-2082},
  journal      = {ILLINOIS JOURNAL OF MATHEMATICS},
  keyword      = {Exact Wiener-Ikehara theorem,log-linearly slowly decreasing functions,pseudofunctions,pseudomeasures,Laplace transform},
  language     = {eng},
  number       = {2},
  pages        = {613--624},
  title        = {Generalization of the Wiener-Ikehara theorem},
  url          = {https://projecteuclid.org/euclid.ijm/1499760025},
  volume       = {60},
  year         = {2016},
}

Chicago
Debruyne, Gregory, and Jasson Vindas Diaz. 2016. “Generalization of the Wiener-Ikehara Theorem.” Illinois Journal of Mathematics 60 (2): 613–624.
APA
Debruyne, G., & Vindas Diaz, J. (2016). Generalization of the Wiener-Ikehara theorem. ILLINOIS JOURNAL OF MATHEMATICS, 60(2), 613–624.
Vancouver
1.
Debruyne G, Vindas Diaz J. Generalization of the Wiener-Ikehara theorem. ILLINOIS JOURNAL OF MATHEMATICS. 2016;60(2):613–24.
MLA
Debruyne, Gregory, and Jasson Vindas Diaz. “Generalization of the Wiener-Ikehara Theorem.” ILLINOIS JOURNAL OF MATHEMATICS 60.2 (2016): 613–624. Print.