The homogeneous transfinite diameter of a compact subset of $ℂ^N$

Mieczysław Jędrzejowski

ArticleOriginal scientific text

Title

The homogeneous transfinite diameter of a compact subset of $ℂ^{N}$

Authors ¹

Affiliations

Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Abstract

Let K be a compact subset of

ℂ^{N}

. A sequence of nonnegative numbers defined by means of extremal points of K with respect to homogeneous polynomials is proved to be convergent. Its limit is called the homogeneous transfinite diameter of K. A few properties of this diameter are given and its value for some compact subsets of

ℂ^{N}

is computed.

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Title

The homogeneous transfinite diameter of a compact subset of ℂN

Affiliations

Abstract

Bibliography

The homogeneous transfinite diameter of a compact subset of $ℂ^{N}$