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Measures that vanish on half spaces

Measures that vanish on half spaces

for all half spaces H, then f(x) = 0 a.e. It is natural to conjecture that if (1) holds for all HE3C., where 3e. is the set of all half spaces of E. that exclude the unit sphere, then f(x) = 0 a.e. in { I x| = 1}. Recently …