# Recovering a function from limited info (Fourier transforms)

## Homework Statement

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?

None.

## 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.>

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