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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 Mean-periodic function ： ウィキペディア英語版 Mean-periodic function In mathematical analysis, the concept of a mean-periodic function is a generalization introduced by Jean Delsarte, of the concept of a periodic function.() Consider a complex-valued function ''ƒ'' of a real variable. The function ''ƒ'' is periodic with period ''a'' precisely if for all real ''x'', we have ''ƒ''(''x'') − ''ƒ''(''x'' − ''a'') = 0. This can be written as : $\backslash int\; f(x-y)\; \backslash ,\; d\backslash mu(y)\; =\; 0\backslash qquad\backslash qquad(1)$ where $\backslash mu$ is the difference between the Dirac measures at 0 and ''a''. A mean-periodic function is a function ''ƒ'' satisfying (1) for some nonzero measure $\backslash mu$ with compact (hence bounded) support. == External links == * (Lectures on Mean Periodic Functions, by J. P. Kahane ) 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「Mean-periodic 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.