A complete classification of all continuous, epi-translation and rotation invariant valuations on the space of super-coercive convex functions on \({\mathbb{R}}^{n}\) is established. The valuations obtained are functional versions of the classical intrinsic volumes. For their definition, singular Hessian valuations are introduced.

中文翻译：

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Hadwiger 定理关于凸函数，I

建立了 \（{\mathbb{R}}^{n}\） 上超矫顽凸函数空间上所有连续、外延平移和旋转不变估值的完整分类。获得的估值是经典内在交易量的功能版本。对于它们的定义，引入了奇异 Hessian 估值。