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arxiv: math/0501215 · v1 · submitted 2005-01-14 · 🧮 math.CA

Hahn decomposition and Radon-Nikodym theorem with a parameter

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keywords decompositionhahnparameterradon-nikodymtheoremanotherchargesclassical
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The paper contains a simple proof of the classical Hahn decomposition theorem for charges and, as a corollary, an explicit measurable in parameter construction of a Radon-Nikodym derivative of one measure by another.

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