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arXiv · 1805.02325

Beyond Haar and Cameron-Martin: the Steinhaus support

N. H. Bingham·A. J. Ostaszewski
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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 group-theoretic 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.

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N. H. Bingham, A. J. Ostaszewski. 2019-03-14. Beyond Haar and Cameron-Martin: the Steinhaus support. https://arxiv.org/abs/1805.02325

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