Discrete marginal problem for complex measures. (English) Zbl 0636.60002

This paper contains complete analysis of the problem to find all complex measures (on the Cartesian product of a finite system of finite nonempty sets) for which the family of its marginal measures is identical with a given family of complex measures. The transformation, mapping every density of the complex measure into the family of its marginal densities, called here the discrete Radon transform, is considered together with its dual transform and their inversions are given in effective forms. Illustrating examples are added.


60A99 Foundations of probability theory
28A99 Classical measure theory
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