Fourier Transform of the Wave function

[Haynes Kwon]

Given that the wave function represented in momentum space is a Fourier transform of the wave function in configuration space, is the conjugate of the wave function in p-space is the conjugate of the whole transformation integral?

 

[PeroK]

Given that the wave function represented in momentum space is a Fourier transform of the wave function in configuration space, is the conjugate of the wave function in p-space is the conjugate of the whole transformation integral?

Can you prove or disprove that:

$F(\psi^*) = F(\psi)^*$

Where $F$ is the Fourier Transform.

Which I think is what you are asking?