Beyond Haar and Cameron-Martin: the Steinhaus support

Bingham, N. H. and Ostaszewski, Adam ORCID: 0000-0003-2630-8663 (2019) Beyond Haar and Cameron-Martin: the Steinhaus support. Topology and its Applications, 260. 23 - 56. ISSN 0166-8641

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Abstract

Motivated by a Steinhaus-like interior-point property involving the Cameron-Martin space of Gaussian measure theory, we study a grouptheoretic analogue, the Steinhaus triple (H, G, μ), and construct a Steinhaus support, a Cameron-Martin-like subset, H(μ) in any Polish group G corresponding to ‘sufficiently subcontinuous’ measures μ, in particular for ‘Solecki-type’ reference measures.

Item Type:	Article
Additional Information:	© 2019 Elsevier B.V.
Divisions:	Mathematics
Date Deposited:	28 Mar 2019 10:39
Last Modified:	12 Dec 2024 01:43
URI:	http://eprints.lse.ac.uk/id/eprint/100369

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