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Speaker: Dr. Alex Iosevich, University of Rochester
Title: “Exact signal recovery, restriction phenomenon, and applications”
Abstract: Let f: {\mathbb Z}_N^d \to {\mathbb C} be a signal and suppose that the frequencies {\{\widehat{f}(m)\}}_{m \in S} are missing, where \widehat{f}(m)=N^{-\frac{d}{2}} \sum_{x \in {\mathbb Z}_N^d} e^{-\frac{2 \pi i x \cdot m}{N}} f(x)..  Under what reasonable assumption can we recover the original signal? We are going to discuss the connections between this problem and the classical restriction phenomenon in harmonic analysis. Bourgain's celebrated \Lambda(q) theorem and its variants by Talagrand and others play an important role in our investigations.

 

The Analysis and Applied Mathematics (AAM) Seminar is intended for Kennesaw State faculty working in the various areas of analysis and applied mathematics to get together to discuss their current work or related questions. Seminars often involve advanced mathematical knowledge. However, the seminars are open to anyone interested in attending.

 

This seminar will be held in-person and virtually. 

 

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