THE CONVERGENCE OF THE FOURIER INTEGRAL OF A UNIMODAL DISTRIBUTION

Authors
GEORGAKIS C
Citation
C. Georgakis, THE CONVERGENCE OF THE FOURIER INTEGRAL OF A UNIMODAL DISTRIBUTION, Proceedings of the American Mathematical Society, 126(11), 1998, pp. 3239-3241
Citations number
8
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
126
Issue
11
Year of publication
1998
Pages
3239 - 3241
Database
ISI
SICI code
0002-9939(1998)126:11<3239:TCOTFI>2.0.ZU;2-T
Abstract
We show that the characteristic function of a unimodal probability dis tribution function can be inverted by the Fourier transform a.e. if an d only if the distribution is absolutely continuous. The result comple ments Khintchine's criterion for unimodal distributions.