Abstract
A general Lebesgue-decomposition-theorem for kernels is proved. A corollary shows that several sets of measures are measurable. In particular it is shown that the set of admissible translates of a measure μ is a F bd -set and that the set of singular translates is a Gδ-set, if μ is a regular and τ-smooth finite measure on a topological semigroup.
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Literatur
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© 1979 Springer-Verlag
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Janssen, A. (1979). Über die Meßbarkeit der Mengen der zulässigen und singulären Translationen von Maßen: Der Lebesguesche Zerlegungssatz für Kerne. In: Heyer, H. (eds) Probability Measures on Groups. Lecture Notes in Mathematics, vol 706. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063125
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DOI: https://doi.org/10.1007/BFb0063125
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