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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 G \subset } \cup \ be a plurisubharmonic function which is not identically -\infty. 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 2n-2 and have zero Lebesgue measure.
If f is a holomorphic function then \log | f | is a plurisubharmonic function. The zero set of f 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)
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