Geodesic
On the Radon--Nikod\'ym theorem
Sbornik. Mathematics, Tome 9 (1969) no. 3, pp. 315-319

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The author shows that in the well-known Radon–Nikodým theorem it is possible to drop the requirement that the space under consideration has $\sigma$-finite measure. The author also gives a partial solution to the problem formulated in a somewhat new fashion concerning the representation of a set function as an integral. Bibliography: 4 titles. 
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     author = {G. P. Tolstov},
     title = {On the {Radon--Nikod\'ym} theorem},
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G. P. Tolstov. On the Radon--Nikod\'ym theorem. Sbornik. Mathematics, Tome 9 (1969) no. 3, pp. 315-319. http://geodesic.mathdoc.fr/item/SM_1969_9_3_a2/