Currently displaying 1 – 4 of 4

Showing per page

Order by Relevance | Title | Year of publication

Alexander’s projective capacity for polydisks and ellipsoids in ℂ N

Mieczysław Jędrzejowski — 1995

Annales Polonici Mathematici

Alexander’s projective capacity for the polydisk and the ellipsoid in ℂ N is computed. Sharper versions of two inequalities concerning this capacity and some other capacities in ℂ N are given. A sequence of orthogonal polynomials with respect to an appropriately defined measure supported on a compact subset K in ℂ N is proved to have an asymptotic behaviour in ℂ N similar to that of the Siciak homogeneous extremal function associated with K.

The homogeneous transfinite diameter of a compact subset of ℂ N

Mieczysław Jędrzejowski — 1991

Annales Polonici Mathematici

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.

Page 1

Download Results (CSV)