Consider some unknown function f:R --> C. Denote its Fourier transform by F. Suppose we know |f(x)|2 for all x and |F(k)|2 for all k. Can we recover f(x) (for all x) from this information?
The Attempt at a Solution
None. It's a yes or no question. Please just point me to the theorem if you know it. Thanks!
<Mentor note: approved.>