Topological groups and invariant measures
Functional Analysis
2015-10-13 v1
Abstract
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.
Cite
@article{arxiv.1510.03082,
title = {Topological groups and invariant measures},
author = {Yury A. Neretin},
journal= {arXiv preprint arXiv:1510.03082},
year = {2015}
}
Comments
Lecture notes in Russian