Existence of quadrature surfaces for positive measures with finite support
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Let μ be a positive measure with finite support in ℜ n (n≧2). Then we show that there is a bounded open set Ω, containing the support of μ, whose single-layer potential coincides with the potential of μ outside Ω.
Mathematics Subject Classifications (1991)31B20 35J05
Key wordsQuadrature surface positive Dirac masses harmonic functions
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