On the reconstruction of measures from their logarithmic derivatives
Izvestiya. Mathematics , Tome 59 (1995) no. 1, pp. 121-139

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Sufficient conditions are given for functions of a given family to be the logarithmic derivatives of a probability measure.
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A. I. Kirillov. On the reconstruction of measures from their logarithmic derivatives. Izvestiya. Mathematics , Tome 59 (1995) no. 1, pp. 121-139. http://geodesic.mathdoc.fr/item/IM2_1995_59_1_a4/