I was wondering if anyone can shed any light on the following.
The request "Fourier transform of sin(2* pi * k *x)" seems to give an incorrect answer when compared to this website: http://mathworld.wolfram.com/FourierTransformSine.html
The answer given is as follows:
When the website says the answer is:
This error also occurs when cosine is used.
Could someone please explain where the root(pi) comes from?
you have to adjust the option FourierParameters, see documentation.
Thank you very much.
There are different conventions for the Fourier Transform regarding where the sqrt(2 pi ) goes.
It also appears to give an incorrect answer for the fourier transform of exp(jwt). The answer it gives has a factor of root(2pi) which simply shouldn't be there! I should be 2pi.