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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Harnack's principle ： ウィキペディア英語版 Harnack's principle In complex analysis, Harnack's principle or Harnack's theorem is one of several closely related theorems about the convergence of sequences of harmonic functions, that follow from Harnack's inequality. If the functions $u\_1(z)$, $u\_2(z)$, ... are harmonic in an open connected subset $G$ of the complex plane C, and :$u\_1(z)\; \backslash le\; u\_2(z)\; \backslash le\; ...$ in every point of $G$, then the limit :$\backslash lim\_u\_n(z)$ either is infinite in every point of the domain $G$ or it is finite in every point of the domain, in both cases uniformly in each compact subset of $G$. In the latter case, the function :$u(z)\; =\; \backslash lim\_u\_n(z)$ is harmonic in the set $G$. ==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「Harnack's principle」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.