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On the Skitovich-Darmois Theorem for a-Adic Solenoids
By the Skitovich-Darmois theorem, the Gaussian distribution on the real line is characterized by the independence of two linear forms of n independent random variables. The theorem is known to fail for a compact connected Abelian group even in the case when n = 2. In the paper, it is proved that a w...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2013
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| Series: | Журнал математической физики, анализа, геометрии |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/106771 |
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