Fourier transform of a even/odd function

[Jalo]

Homework Statement

Is the Fourier transform of a even/odd function also even/odd ?

Homework Equations

The Attempt at a Solution

So far this result seems to be true. I can't find a confirmation however...

Thanks ahead.
Daniel.

 

[jedishrfu]

As you do the transform on any odd function do you see a place where the even component is always zero? similarly for even functions?

Then that might answer your question.