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Balayage is a French word meaning scanning or sweeping. In potential theory, a mathematical discipline, balayage is a method devised by Henri Poincaré for reconstructing a harmonic function in a domain from its values on the boundary of the domain. In modern terms, the balayage operator maps a measure ''μ'' on a closed domain ''D'' to a measure ''ν'' on the boundary ''∂ D'', so that the Newtonian potentials of ''μ'' and ''ν'' coincide outside ''D''. The procedure is called balayage since the mass is "swept out" from ''D'' onto the boundary. For ''x'' in ''D'', the balayage of ''δ''''x'' yields the harmonic measure ''ν''''x'' corresponding to ''x''. Then the value of a harmonic function ''f'' at ''x'' is equal to : == References == 〔 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「balayage」の詳細全文を読む スポンサード リンク
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