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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
21
votes
Accepted
Furstenberg's Conjecture on 2-3-invariant continuous probability measures on the circle
Manfred Einsiedler and Alexander Fish have a paper (arxiv.org/abs/0804.3586) showing that a multiplicative subsemigroup of $\mathbb N$ which is not too sparse satisfies the desired measure classificat …
5
votes
0
answers
130
views
Hartman uniform distribution of means
Background: for a discrete abelian group $G$, a character of $G$ is a homomorphism $\chi:G\to \mathbf S^1$, $\mathbf S^1$ being the circle group $\{z\in \mathbb C:|z|=1\}$ with ordinary multiplication …