On a uniqueness theorem for characteristic functions

Suppose that f is the characteristic function of a probability measure on the real line R. We deal with the following open problem posed by N.G. Ushakov: Is it true that f is never determined by its imaginary part Im f? In other words, is it true that for any characteristic function f, there exists...

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Bibliographic Details
Main Author: Saulius Norvidas
Format: Article
Language:English
Published: Vilnius University Press 2017-05-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.journals.vu.lt/nonlinear-analysis/article/view/13395