Explore signal recovery techniques and their connections to restriction theory in this advanced mathematics lecture. Delve into the problem of recovering a signal transmitted via its Fourier transform when certain frequencies are missing. Examine the conditions under which exact signal recovery is possible, including the Matolcsi-Szuchs and Donoho-Stark theorems. Discover how non-trivial restriction estimates can significantly improve recovery conditions, and learn about the application of multi-linear restriction theory to enhance recovery in multiple transmissions. Investigate continuous aspects of the problem and understand the restriction conjecture as a signal recovery mechanism. Gain insights from joint research with Azita Mayeli (CUNY) in this hour-long presentation from the Hausdorff Center for Mathematics.