Theorem 3.97 . [02NU]

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Theorem 3.97.

Let $f\colon N_{\mathbb{R}}\to\mathbb{R}$ be a closed concave function, such that $D:=\operatorname{stab}(f)$ is a compact convex set with piecewise smooth boundary $\partial D$ . Then

(3.98)

-n!\int_{N_{\mathbb{R}}}f{\mathcal{M}}_{\mu}(f)=(n+1)!\int_{D}f^{\vee}\,\text{\rm d}\mu-n!\int_{\partial D}f^{\vee}\lambda.