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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 Wiener amalgam space ： ウィキペディア英語版 Wiener amalgam space In mathematics, amalgam spaces categorize functions with regard to their local and global behavior. While the concept of function spaces treating local and global behavior separately was already known earlier, Wiener amalgams, as the term is used today, were introduced by Hans Georg Feichtinger in 1980. The concept is named after Norbert Wiener. Let $X$ be a normed space with norm $\backslash |\backslash cdot\; \backslash |\_X$. Then the ''Wiener amalgam space''〔Wiener amalgam spaces for the Fundamental Identity of Gabor Analysis by Hans Georg Feichtinger and Franz Luef〕 with local component $X$ and global component $L^p\_m$, a weighted $L^p$ space with non-negative weight $m$, is defined by : where $g$ is a continuously differentiable, compactly supported function, such that $\backslash sum\_^d$. Again, the space defined is independent of $g$. As the definition suggests, Wiener amalgams are useful to describe functions showing characteristic local and global behavior.〔Foundations of Time-Frequency Analysis by Karlheinz Gröchenig〕 ==References== 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「Wiener amalgam space」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.