Homework Statement
What can we say about the evenness and oddness of the power spectrum (|F(s)|^{2}) if the input fuction is purely real, purely imaginary or complex?
I know that a real function will give an even power spectrum. But I can't prove it!
Homework Equations
F(s) =...
Homework Statement
The argument of the kernel of the Fourier transform has a different sign for the forward and inverse transform. For a general function, show how the original function isn’t recovered upon inverse transformation if the sign of the argument is the same for both the forward and...