Beyond Haar and Cameron-Martin: the Steinhaus support

Bingham, Nicholas; Ostaszewski, Adam

doi:https://www.dx.doi.org/10.1016/j.topol.2019.03.020

File(s)

1805.02325.pdf (368.28 KB)

Accepted version

Author(s)

Bingham, Nicholas

Ostaszewski, Adam

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

Date Acceptance

2019-03-16

Citation

Topology and its Applications, 2019, 260, pp.23-56

URI

http://hdl.handle.net/10044/1/69536

DOI

https://www.dx.doi.org/10.1016/j.topol.2019.03.020

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