Beyond Haar and Cameron-Martin: the Steinhaus support
Bingham, N. H. & Ostaszewski, A.
(2019).
Beyond Haar and Cameron-Martin: the Steinhaus support.
Topology and its Applications,
260, 23 - 56.
https://doi.org/10.1016/j.topol.2019.03.020
(2019).
Beyond Haar and Cameron-Martin: the Steinhaus support.
Topology and its Applications,
260, 23 - 56.
https://doi.org/10.1016/j.topol.2019.03.020
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.