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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 Koopman operator ： ウィキペディア英語版 Composition operator In mathematics, the composition operator $C\_\backslash phi$ with symbol $\backslash phi$ is a linear operator defined by the rule :$C\_\backslash phi\; (f)\; =\; f\; \backslash circ\backslash phi$ where $f\; \backslash circ\backslash phi$ denotes function composition. The study of composition operators is covered by (AMS category 47B33 ). ==In physics== In physics, and especially the area of dynamical systems, the composition operator is usually referred to as the Koopman operator,〔B.O. Koopman, "Hamiltonian systems and transformations in Hilbert space", (1931) ''Proceedings of the National Academy of Sciences of the USA'', 17, pp.315-318.〕〔Pierre Gaspard, ''Chaos, scattering and statistical mechanics'', (1998) Cambridge University Press〕 named after Bernard Koopman. It is the left-adjoint of the Frobenius-Perron or transfer operator. 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「Composition operator」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.