The Siciak extremal function establishes an important link between polynomial approximation in several variables and pluripotential theory. This yields its numerous applications in complex and real analysis. Some of them can be found on a rich list drawn up by Klimek in his well-known monograph "Pluripotential Theory". The purpose of this paper is to supplement it by applications in constructive function theory.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap80-0-2,
author = {W. Ple\'sniak},
title = {Siciak's extremal function in complex and real analysis},
journal = {Annales Polonici Mathematici},
volume = {81},
year = {2003},
pages = {37-46},
zbl = {1022.32004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap80-0-2}
}
W. Pleśniak. Siciak's extremal function in complex and real analysis. Annales Polonici Mathematici, Tome 81 (2003) pp. 37-46. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap80-0-2/