Epigraphical cones II

This is the second part of a work devoted to the theory of epigraphical cones and their applications. A convex cone $K$ in the Euclidean space $\mathbb{R}^{n+1}$ is an epigraphical cone if it can be represented as epigraph of a nonnegative sublinear function $f: \mathbb{R}^n\to \mathbb{R}$. We explore the link between the geometric properties of $K$ and the analytic properties of $f$.

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JOURNAL OF CONVEX ANALYSIS, 2011, in press.

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