On a Characterization of the Haar Distribution on Compact Abelian Groups

Автор(и)

  • I. P. Mazur B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv 61103, Ukraine

DOI:

https://doi.org/10.15407/mag10.01.126

Ключові слова:

компактні абелеві групи, лінійна форма

Анотація

Доведено теорему, що характеризує розподіл Хаара на компактній групі незалежністю n лінійних форм від n незалежних випадкових величин. Коефіцієнтами форм є неперервні ендоморфізми групи.

Mathematics Subject Classification: 39B99, 43A25, 60B15, 62E10.

Посилання

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Mazur, I. P. On a Characterization of the Haar Distribution on Compact Abelian Groups. Журн. мат. фіз. анал. геом. 2014, 10, 126-133.

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