# Table of Fourier Transforms

## Definition of Fourier Transforms

If f(t) is a function of the real variable t, then the Fourier transform F(ω) of f is given by the integral

_{-∞}

^{+∞}e

^{ - j ω t}f(t) dt

where j = √(-1), the imaginary unit.

In what follows, u(t) is the unit step function defined by

u(t) = 1 for t ≥ 0 and u(t) = 0 for t < 0. (see figure below).

## Table of Fourier Transforms
## More References and linksintegrals and their applications in calculus. |