Polarization constants for products of linear functionals over $\mathbb{R}^2$ and $\mathbb{C}^2$ and Chebyshev constants of the unit sphere

Vasilios A. Anagnostopoulos                <meta name=

2006/68/1-2 (5) — DOI: 10.5486/PMD.2006.3095 — pp. 63-75

Polarization constants for products of linear functionals over $\mathbb{R}^2$ and $\mathbb{C}^2$ and Chebyshev constants of the unit sphere

Authors: Vasilios A. Anagnostopoulos and Szilárd Gy. Révész

Abstract:

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Keywords: homogeneous polynomials in $R^2$ and $C^2$, polarization constants, generalized trigonometric functions, min-max problems for polynomials, Chebyshev constants, potential theory, well-distributed point sets on the unit sphere

Mathematics Subject Classification: 46G25, 47H60, 46C99, 31C15, 46B20