On the division of a characteristic function by the Blaschke product 

Author 
iljinskii@univer.kharkov.ua
Karazin Kharkiv National University, Department of Mechanics and Mathematics

Abstract 
We give an example of a characteristic function $f$ of the probability distribution on the halfline $[0,\infty)$ such that if $B$ is the Blaschke product of $f$ for upper halfplane then $f/B$ is not a characteristic function.

Keywords 
characteristic function; probability distribution; Blaschke product; halfplane

DOI 
doi:10.15330/ms.43.1.100102

Reference 
1. Yu.V. Linnik, I.V. Ostrovskii, Decompositions of random variables and vectors. – Nauka, Moskow, 1972.
(in Russian)

Pages 
100102

Volume 
43

Issue 
1

Year 
2015

Journal 
Matematychni Studii

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