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Comptes Rendus Mathématique
Volume 355, n° 8
pages 920-924 (août 2017)
Doi : 10.1016/j.crma.2017.07.005
Received : 22 April 2017 ;  accepted : 11 July 2017
A theorem of uniqueness for characteristic functions
Théorème d'unicité pour les fonctions caractéristiques
 

Saulius Norvidas
 Vilnius University Institute of Mathematics and Informatics, Akademijos 4, 08663 Vilnius, Lithuania 

Abstract

We discuss a uniqueness property of the characteristic function of an absolutely continuous probability measure. Our study is initiated by the question posed by N.G. Ushakov: is it true that, for any interval  ,  , there exists a characteristic function f such that  , but   for all  ?

The full text of this article is available in PDF format.
Résumé

Nous discutons d'une propriété d'unicité pour : les fonctions caractéristiques des mesures de probabilité. Notre étude tire son origine dans la question de N.G. Ushakov : étant donné  ,  , est-il vrai qu'il existe une fonction caractéristique f telle que  , mais vérifiant   pour   ?

The full text of this article is available in PDF format.


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