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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 Lauricella's theorem ： ウィキペディア英語版 Lauricella's theorem In the theory of orthogonal functions, Lauricella's theorem provides a condition for checking the closure of a set of orthogonal functions, namely: ''Theorem.'' A necessary and sufficient condition that a normal orthogonal set $\backslash$ be closed is that the formal series for each function of a known closed normal orthogonal set $\backslash$ in terms of $\backslash$ converge in the mean to that function. The theorem was proved by Giuseppe Lauricella in 1912. ==References== *G. Lauricella: ''Sulla chiusura dei sistemi di funzioni ortogonali'', Rendiconti dei Lincei, Series 5, Vol. 21 (1912), pp. 675–85. 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「Lauricella's 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.