Analytic, combinatorial and arithmetic aspects of exact signal recovery with Alex Iosevich
Friday, October 11, 2024 10am to 11am
About this Event
11200 SW 8th ST, Deuxieme Maison, Miami, Florida 33199
Abstract: One of the basic questions in classical signal recovery asks for a set of reasonable conditions under which a signal f: {\mathbb Z}_N^d \to {\mathbb C}, sent via its Fourier transform with frequencies {\{\widehat{f}(m)\}}_{m \in S} missing, can be recovered exactly and uniquely. Matolcsi and Szucs (1973) and Donoho and Stark (1989) laid a mathematical foundation for this problem and showed its fundamental connection with the Fourier uncertainty principle. In this talk, we are going to discuss a variety of aspects of this wonderful problem, an approach using classical restriction theory and Rudin/Bourgain theory of \Lambda_p sets, and some analytic underpinnings of these theories. The interplay between discrete, continuous, probabilistic, and arithmetic methods will be emphasized throughout.
Event Details
See Who Is Interested
0 people are interested in this event
Dial-In Information
https://fiu.zoom.us/j/89895598155?pwd=yR34WJbFJllKactMxLv7asnZahWRUM.1
Meeting ID: 898 9559 8155
Passcode: FIU2024
User Activity
No recent activity