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arXiv · 1408.1756

Extremal functions for real convex bodies

D. Burns·N. Levenberg·S. Ma`u
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Abstract

We study the smoothness of the Siciak-Zaharjuta extremal function associated to a convex body in $\mathbb{R}^2$. We also prove a formula relating the complex equilibrium measure of a convex body in $\mathbb{R}^n$ to that of its Robin indicatrix. The main tool we use are extremal ellipses.

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D. Burns, N. Levenberg, S. Ma`u. 2014-08-08. Extremal functions for real convex bodies. https://doi.org/10.1007/s11512-014-0207-6

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