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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 Fatou–Bieberbach domain ： ウィキペディア英語版 Fatou–Bieberbach domain In mathematics, a Fatou–Bieberbach domain is a proper subdomain of $\backslash mathbb^n$, biholomorphically equivalent to $\backslash mathbb^n$. That is, an open set $\backslash Omega\; \backslash subsetneq\; \backslash mathbb^n$ is called a Fatou–Bieberbach domain if there exists a bijective holomorphic function $f:\backslash Omega\; \backslash rightarrow\; \backslash mathbb^n$ whose inverse function $f^:\backslash mathbb^n\; \backslash rightarrow\; \backslash Omega$ is holomorphic. == History == As a consequence of the Riemann mapping theorem, there are no Fatou–Bieberbach domains in the case ''n'' = 1. Pierre Fatou and Ludwig Bieberbach first explored such domains in higher dimensions in the 1920s, hence the name given to them later. Since the 1980s, Fatou–Bieberbach domains have again become the subject of mathematical research. 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「Fatou–Bieberbach domain」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.