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arxiv: 1510.03082 · v1 · pith:N7PH22I6new · submitted 2015-10-11 · 🧮 math.FA

Topological groups and invariant measures

classification 🧮 math.FA
keywords groupsmeasuresinfinite-dimensionallargetopologicalabstractdescriptionsdifferent
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Lecture notes in Russian. Topics: the Haar measure (abstract theorems and explicit descriptions for different groups), measures on infinite-dimensional spaces with large natural groups of symmetries (Gaussian measures, Poisson measures, virtual permutations, inverse limits of unitary groups), zoo of examples of topological groups, generalities for large (infinite-dimensional) groups, polymorphisms.

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