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- W1964009013 abstract "Let G be a locally compact metrizable group acting on a probability space (X, B, μ). First, we give several equivalent conditions for the continuity of δg ∗ μ in g ∈ G. Then for a quasi-invariant and ergodic probability measure on a measurable group, we prove a zero-one law for translated subgroups, which is a natural extension of Kallianpur′s zero-one law for Gaussian measures, and apply it to the Wiener measure on a loop group. We also give an answer to a problem posed by J. Zinn (Proc. Amer. Math. Soc.44, No. 1 (1974), 179-185)." @default.
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- W1964009013 date "1994-02-01" @default.
- W1964009013 modified "2023-10-18" @default.
- W1964009013 title "Continuity of Quasi-Invariant Measures and Zero-One Laws on Groups" @default.
- W1964009013 doi "https://doi.org/10.1006/jfan.1994.1029" @default.
- W1964009013 hasPublicationYear "1994" @default.
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