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Radon-Nikodým theorems for multimeasures and transition multimeasures

Radon-Nikodým theorems for multimeasures and transition multimeasures

In this paper we prove two set valued Radon-Nikodym theorems. One for simple multimeasures and the other for transition multimeasures. In the process of proving the second theorem, we obtain a result concerning transition selectors of transition multimeasures, which is of independent interest.