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.

Then the Wiener amalgam space[1] with local component

space with non-negative weight

is a continuously differentiable, compactly supported function, such that

As the definition suggests, Wiener amalgams are useful to describe functions showing characteristic local and global behavior.

This mathematical analysis–related article is a stub.