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Jensen Measures in Potential Theory

Publication at Faculty of Mathematics and Physics |
2012

Abstract

It is shown that, for open sets in classical potential theory and--more generally--for elliptic harmonic spaces Y, the set of Jensen measures (representing measures with respect to superharmonic functions on Y) for a point x of Y is a simple union of closed faces of the compact convex set of representing measures with respect to potentials on Y, a set which has been thoroughly studied a long time ago.