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arXiv · 2301.01195

Integral Functionals of Probability that Depend Only on Mean Values

Daniel W. Stroock
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Abstract

It is shown that affine functions are the only continuous real valued functions on R whose integrals with respect to compactly supported probability measures depend only on the mean value of the measure.

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Daniel W. Stroock. 2023-01-02. Integral Functionals of Probability that Depend Only on Mean Values. https://arxiv.org/abs/2301.01195

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