How do we solve for the inverse Fourier Transform for the following two functions?

$$X(f) = e^{-a/f}$$

$$X(f) = e^{-a/\sqrt{f}}$$

  • $\begingroup$ uhm, you got problems as $f \to 0$. $\endgroup$ May 12 '20 at 3:18
  • $\begingroup$ @robertbristow-johnson Yes we need to omit $f=0$....that said.... $\endgroup$ May 12 '20 at 3:44
  • $\begingroup$ (The FT of x= 1 also goes to infinity, yet that doesn't stop us) $\endgroup$ May 12 '20 at 3:47

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