Fourier transform of a even/odd function

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Jalo
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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.
 
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.