Exercise 3. Compute the 2-dimensional Fourier transform of the following function (no need to verify its existence) $(x, y) \mapsto f(x, y) = e^{-(|x - y| + |x + y|)}$.
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Step 1: Write out the function f(x,y) = e^(-|x-y|^2 + |x+v|^2). Show more…
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