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About: Wiener amalgam space     Goto   Sponge   NotDistinct   Permalink

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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 be a normed space with norm . Then the Wiener amalgam space with local component andglobal component , a weighted space with non-negative weight , is defined by