An extreme absolutely continuous 𝑅𝑃-measure

McDonald, John N.

doi:10.1090/S0002-9939-1990-1017849-0

An extreme absolutely continuous $\textrm {RP}$-measure
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Proc. Amer. Math. Soc. 109 (1990), 731-738 Request permission

Abstract:

We construct a measure on the torus ${T^2}$ which is an extreme element of the set of RP-probability measures and is absolutely continuous with respect to Haar measure on ${T^2}$.

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