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Limits of balayage measures
Authors:W Hansen  I Netuka
Institution:(1) Fakultät für Mathematik, Universität Bielefeld, Universitätsstraße, 4800 Bielefeld 1, Germany;(2) Mathematical Institute, Charles University, Sokolovská 83, 18600 Praha 8, Czechoslovakia
Abstract:LetA be a subset of a balayage space (X,W) and ngr a measure onX. It is shown that for every sequence ngrn of measures such that limnrarrinfinngrn and limnrarrinfinngr n A =lambda the limit measure lambda is of the formfngr+(1-f)ngr]A for some (unique) Borel function 0lefle1Cb(A). Furthermore, conditions are given such that any such functionf occurs.
Keywords:31D05  28A33
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