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Pluripolar set : ウィキペディア英語版 | Pluripolar set In mathematics, in the area of potential theory, a pluripolar set is the analog of a polar set for plurisubharmonic functions. ==Definition== Let be a plurisubharmonic function which is not identically . The set : is called a ''complete pluripolar set''. A ''pluripolar set'' is any subset of a complete pluripolar set. Pluripolar sets are of Hausdorff dimension at most and have zero Lebesgue measure. If is a holomorphic function then is a plurisubharmonic function. The zero set of is then a pluripolar set.
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「Pluripolar set」の詳細全文を読む
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