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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 Hartogs–Rosenthal theorem ： ウィキペディア英語版 Hartogs–Rosenthal theorem In mathematics, the Hartogs–Rosenthal theorem is a classical result in complex analysis on the uniform approximation of continuous functions on compact subsets of the complex plane by rational functions. The theorem was proved in 1931 by the German mathematicians Friedrich Hartogs and Arthur Rosenthal and has been widely applied, particularly in operator theory. ==Statement of theorem== The Hartogs–Rosenthal theorem states that if ''K'' is a compact subset of the complex plane with Lebesgue measure zero, then any continuous complex-valued function on ''K'' can be uniformly approximated by rational functions. 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「Hartogs–Rosenthal theorem」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.