I would like to know the 2D FT of the following functions:
1.$$\exp\left(-\frac{(x-y+a)^2}{b^2}\right)$$
2.$$\exp\left(-\frac{(x-y+a)^2}{b^2}\right)\cos\left(n\pi\left(x+\frac{1}{2}\right)\right)\cos\left(n\pi\left(y+\frac{1}{2}\right)\right)$$
Any suggestion is highly appreciated!
