Abstract
A necessary and sufficient condition for the uniqueness of the pre-image measure in the situation studied by Yershov [8] and other authors [4, 5] is given. This very natural condition, different from that in [8], has been discovered by Eisele [2] under more restrictive assumptions. Our main theorem extends this result to the situation considered by Yershov.
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The authors wish to express their cordial thanks to Prof. D. Kölzow for his many suggestions given during the elaboration of this common version of their papers.
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Lehn, J., MÄgerl, G. On the uniqueness of pre-image measures. Z. Wahrscheinlichkeitstheorie verw Gebiete 38, 333–337 (1977). https://doi.org/10.1007/BF00533165
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DOI: https://doi.org/10.1007/BF00533165