Find the Fourier tranform of $f(x)=x^2e^{-x^2}$
In a previous question when I found the Fourier transform of $f(x) =e^{-x^2}$, I used the formulas $F(f')=i\omega F$ and $F(xf)=iF'$. Will they be helpful in this case?
Find the Fourier tranform of $f(x)=x^2e^{-x^2}$
In a previous question when I found the Fourier transform of $f(x) =e^{-x^2}$, I used the formulas $F(f')=i\omega F$ and $F(xf)=iF'$. Will they be helpful in this case?
Consider applying the formula $\widehat{(xf)}(\omega)=i\frac{d}{d\omega}\widehat{f}(\omega)$ twice...
Hint: Wikipedia should be very helpful for this :
Fine continuation,