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A simple construction is given that obtains maximal representing measures for positive harmonic functions on a domain W as the weak* limits of finite sums of point masses on [0, + 00]^. This new standard result, new even for the unit disk, is established for very general elliptic differential equations and domains, in fact, for a Brelot harmonic space, using nonstandard analysis.doi:10.2307/2042218 fatcat:ptrtggh6hbh4fp7vixdf2hfaoi