In mathematics, Schwartz space is the function space of functions all of whose derivatives are rapidly decreasing. This space has the important property that the Fourier transform is an automorphism on this space. This property enables one, by duality, to define the Fourier transform for elements in the dual space of S, that is, for tempered distributions. Schwartz space is named in honour of Laurent Schwartz. A function in the Schwartz space is sometimes called a Schwartz function.
Read more about Schwartz Space: Definition, Examples of Functions in The Schwartz Space, Properties
Famous quotes containing the word space:
“The peculiarity of sculpture is that it creates a three-dimensional object in space. Painting may strive to give on a two-dimensional plane, the illusion of space, but it is space itself as a perceived quantity that becomes the peculiar concern of the sculptor. We may say that for the painter space is a luxury; for the sculptor it is a necessity.”
—Sir Herbert Read (1893–1968)