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Displaying similar documents to “On the multivariate transfinite diameter”

The homogeneous transfinite diameter of a compact subset of N

Mieczysław Jędrzejowski (1991)

Annales Polonici Mathematici

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Let K be a compact subset of 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 N is computed.