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Polar set (potential theory) : ウィキペディア英語版 | Polar set (potential theory)
In mathematics, in the area of classical potential theory, polar sets are the "negligible sets", similar to the way in which sets of measure zero are the negligible sets in measure theory. == Definition ==
A set in (where ) is a polar set if there is a non-constant subharmonic function : on such that : Note that there are other (equivalent) ways in which polar sets may be defined, such as by replacing "subharmonic" by "superharmonic", and by in the definition above.
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