On the division of a characteristic function by the Blaschke product |
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| Author |
iljinskii@univer.kharkov.ua
Karazin Kharkiv National University, Department of Mechanics and Mathematics
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| Abstract |
We give an example of a characteristic function $f$ of the probability distribution on the half-line $[0,\infty)$ such that if $B$ is the Blaschke product of $f$ for upper half-plane then $f/B$ is not a characteristic function.
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| Keywords |
characteristic function; probability distribution; Blaschke product; half-plane
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| DOI |
doi:10.15330/ms.43.1.100-102
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| Reference |
1. Yu.V. Linnik, I.V. Ostrovskii, Decompositions of random variables and vectors. – Nauka, Moskow, 1972.
(in Russian)
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| Pages |
100-102
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| Volume |
43
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| Issue |
1
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| Year |
2015
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| Journal |
Matematychni Studii
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