The convergence of the Fourier integral of a unimodal distribution
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- by Constantine Georgakis PDF
- Proc. Amer. Math. Soc. 126 (1998), 3239-3241 Request permission
Abstract:
We show that the characteristic function of a unimodal probability distribution function can be inverted by the Fourier transform a.e. if and only if the distribution is absolutely continuous. The result complements Khintchine’s criterion for unimodal distributions.References
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Additional Information
- Constantine Georgakis
- Affiliation: Department of Mathematics, DePaul University, Chicago, Illinois 60614
- Received by editor(s): December 14, 1994
- Received by editor(s) in revised form: March 10, 1997
- Communicated by: J. Marshall Ash
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 3239-3241
- MSC (1991): Primary 42A38; Secondary 60E10
- DOI: https://doi.org/10.1090/S0002-9939-98-04385-8
- MathSciNet review: 1452804