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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 Z in \R^n (where n\ge 2) is a polar set if there is a non-constant subharmonic function
:u on \R^n
such that
:Z \subseteq \.
Note that there are other (equivalent) ways in which polar sets may be defined, such as by replacing "subharmonic" by "superharmonic", and -\infty by \infty in the definition above.

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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