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The Dirichlet problem for Baire-one functions
Authors:Jiří Spurný
Institution:(1) Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic
Abstract:Let X be a compact convex set and let ext X stand for the set of all extreme points of X. We characterize those bounded function defined on ext X which can be extended to an affine Baire-one function on the whole set X.
Keywords:abstract Dirichlet problem                      Baire-one functions
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