Topic
Schwartz space.
function space of all functions whose derivatives are rapidly decreasing
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About Schwartz space
In mathematics, Schwartz space is the function space of all functions whose derivatives of all orders 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 , that is, for tempered distributions. A function in the Schwartz space is sometimes called a Schwartz function.
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