So its been awhile since I've taken PDE, and forgot alot about fourier transforms. Anyways I'm trying to understand what the inverse of the fourier transform actually represents. I understand perfectly how the infinite sum of periodic functions can be used to create any periodic function when summing in respects to your wave number or frequency k, however I don't understand what the inverse of that transform actually represents. It seems that through the inverse you integrate over x to find a function of frequency. What exactly does this function actually represent? Is it a function that can be represented by a sum of x functions ( this statement doesn't even make sense to me )?(adsbygoogle = window.adsbygoogle || []).push({});

This question is important to me because in my studies of quantum scattering ( or really just any other scattering problems regarding waves ) we deal with k-space which is the inverse fourier transform and I don't completely understand it because of my lack of comprehension of the inverse fourier.

Thanks you all for the replies

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# Inverser Fourier Transform

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