Beyond Haar and Cameron-Martin: the Steinhaus support
File(s)1805.02325.pdf (368.28 KB)
Accepted version
Author(s)
Bingham, N
Ostaszewski, A
Type
Journal Article
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 G corresponding to ‘sufficiently subcontinuous’ measures μ, in particular for ‘Solecki-type’ reference measures.
Date Issued
2019-06-15
Online Publication Date
2020-03-22T07:00:20Z
Date Acceptance
2019-03-16
ISSN
0166-8641
Publisher
Elsevier
Start Page
23
End Page
56
Journal / Book Title
Topology and its Applications
Volume
260
Copyright Statement
© 2019 Published by Elsevier B.V. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/
Subjects
0101 Pure Mathematics
General Mathematics
Publication Status
Published
Date Publish Online
2019-03-22