Transform pair

Summary

A transform pair is a function $f$ together with its image $F = Tf$ under an integral transform $T$. It is often written $f \leftrightarrow F$ or $f(t) \leftrightarrow F(s)$. Tables of transform pairs are the main working tool of the Laplace transform and the Fourier transform. They let one go back from $F$ to $f$ without computing an inverse transform.