On a Characterization of the Haar Distribution on Compact Abelian Groups
We prove a theorem which characterizes the Haar distribution on a compact Abelian group by the independence of n linear forms of n independent random variables. The coefficients of the forms are continuous endomorphisms of the group. Доказана теорема, характеризующая распределение Хаара на компактно...
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| Published in: | Журнал математической физики, анализа, геометрии |
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| Date: | 2014 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/106787 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On a Characterization of the Haar Distribution on Compact Abelian Groups / I.P. Mazur // Журнал математической физики, анализа, геометрии. — 2014. — Т. 10, № 1. — С. 126-133. — Бібліогр.: 15 назв. — англ. |