Title of article
Extreme harmonic functions on a ball
Author/Authors
Jaroslav Lukes?، نويسنده , , Ivan Netuka، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
9
From page
83
To page
91
Abstract
In order to show that one can recapture the Riesz-Herglotz theorem from the Krein-Milman theorem, we determine directly the set of extreme points of the convex set of positive harmonic functions on the unit ball (normalized by 1 at the origin). The characterization is obtained using standard facts from abstract analysis combined with a minimum of very basic results on harmonic functions.
Keywords
extreme points , harmonic functions , Poisson kernel , Krein-Milraan theorem , Riesz-Herglotz theorem
Journal title
Expositiones Mathematicae
Serial Year
2004
Journal title
Expositiones Mathematicae
Record number
703304
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