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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 Representative function ： ウィキペディア英語版 Representative function In mathematics, in particular in the field of the representation theory of groups, a representative function is a function ''f'' on a compact topological group ''G'' obtained by composing a representation of ''G'' on a vector space ''V'' with a linear map from the endomorphisms of ''V'' into ''V'' 's underlying field. Representative functions arise naturally from finite-dimensional representations of ''G'' as the matrix-entry functions of the corresponding matrix representations. It follows from the Peter–Weyl theorem that the representative functions on ''G'' are dense in the Hilbert space of square-integrable functions on ''G''. == References == * Theodor Bröcker and Tammo tom Dieck, ''Representations of compact Lie groups'', Graduate Texts in Mathematics 98, Springer-Verlag, Berlin, 1995. 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「Representative function」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.