Hi all, I had this problem for homework and it stumped me. It's too late to get points for it, but I'd like to know for future reference. I posted in the homework help forum but figured I'd try here too.(adsbygoogle = window.adsbygoogle || []).push({});

Find the Fourier transform F(w)=integral from -infinity to infinity of f(t)e^(i*w*t)dt

f(t)=e^(-t^2/a^2)

i=sqrt(-1) w=omega=constant a=constant

This looks sort of like a gaussian integral:

integral of e^(-a*x^2)dx=sqrt(pi/a)

but I couldn't see how to do it...

The answer given by the book is sqrt(pi)ae^(-a^2*w^2/4)

Anyone know how to do this??

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# Fourier Transform stumped

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