Fourier Transform of e^(-a |x| )
Description
Here is an example of a Complex Fourier Transform.
The Fourier Transform is defined as . The Fourier Transform, transforms a function of into a new function of . This can be used to solve partial differential equations.
For the case the Fourier Transform is . Below is a graph where the value of the constant can be varied with a slider. The imaginary part of this transform is zero since the function is an even symmetric function ().