Fourier Transform of $(\operatorname{sinc}(x))^2\cdot \exp(-ax^2)$

Asked May 16 '13 at 14:36

Active May 16 '13 at 18:10

Viewed 105 times

I would like to calculate the FT of the following function:

$$(\operatorname{sinc}(x))^2\cdot \exp(-ax^2)$$

Any hint is highly appreciated!

edited May 16 '13 at 18:10

Michael Hardy

asked May 16 '13 at 14:36

JFNJr

I don't know how to do it directly, but my approach would be to expand the $\exp$-function and use the results for $\mathrm{sinc}(x)^2$ and $x^n f(x)$, see here. – Nikolaj-K May 16 '13 at 14:54
@NickKidman It seems to be not well define. It turns out i have to evaluate the derivative of $tri(\xi)$! – JFNJr May 16 '13 at 15:13
Well, things could be worse. – Nikolaj-K May 16 '13 at 15:56
@NickKidman I know but still I don't know how to solve it! – JFNJr May 16 '13 at 16:07

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