Beyond Haar and Cameron-Martin: the Steinhaus support
Functional Analysis
2019-03-18 v3 General Topology
Abstract
Motivated by a Steinhaus-like interior-point property involving the Cameron-Martin space of Gaussian measure theory, we study a group-theoretic analogue, the Steinhaus triple , and construct a Steinhaus support, a Cameron-Martin-like subset, in any Polish group corresponding to `sufficiently subcontinuous' measures , in particular for `Solecki-type' reference measures.
Keywords
Cite
@article{arxiv.1805.02325,
title = {Beyond Haar and Cameron-Martin: the Steinhaus support},
author = {N. H. Bingham and A. J. Ostaszewski},
journal= {arXiv preprint arXiv:1805.02325},
year = {2019}
}