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 \(\mathbb{R}^{n}\) (n≥2) to that of its Robin indicatrix. The main tool we use is extremal ellipses.
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The third author was partially supported by University of Auckland grant 3704154.
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Burns, D.M., Levenberg, N. & Ma‘u, S. Extremal functions for real convex bodies. Ark Mat 53, 203–236 (2015). https://doi.org/10.1007/s11512-014-0207-6
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DOI: https://doi.org/10.1007/s11512-014-0207-6