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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 Hadamard three-lines theorem ： ウィキペディア英語版 Hadamard three-lines theorem In complex analysis, a branch of mathematics, the Hadamard three-lines theorem, named after the French mathematician Jacques Hadamard, is a result about the behaviour of holomorphic functions defined in regions bounded by parallel lines in the complex plane. ==Statement== Let ''f''(''z'') be a bounded function of ''z = x + iy'' defined on the strip :$\backslash ,$ holomorphic in the interior of the strip and continuous on the whole strip. If :$M(x)=\backslash sup\_y\; |f(x+iy)|,\; \backslash ,$ then log ''M''(''x'') is a convex function on (). In other words, if $x=t\; a\; +\; (1-t)\; b$ with $0\backslash le\; t\; \backslash le\; 1$, then :$M(x)\backslash le\; M(a)^t\; M(b)^.\; \backslash ,$ 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「Hadamard three-lines 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.