I'm currently working with the Fourier Transform. So let's say we have some vectors $v$, $w$ and $z$ and their transformed $V$, $W$ and $Z$.
If we know that $v = w+z$, we could also say that $V = W + Z$?
Is that due to linearity of the Fourier Transform and if so, why ?
Thank you very much !
Yes, beacause that's part of what being “linear” means.