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Signal Recovery, Restriction Theory, and Applications - Lecture 3

Offered By: Hausdorff Center for Mathematics via YouTube

Tags

Harmonic Analysis Courses Linear Algebra Courses Discrete Mathematics Courses Number Theory Courses Combinatorics Courses Complex Analysis Courses Fourier Transform Courses Functional Analysis Courses

Course Description

Overview

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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 results. 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 the continuous aspects of the problem and understand the restriction conjecture as a signal recovery mechanism. Gain insights from the joint work of Alex Iosevich and Azita Mayeli (CUNY) in this hour-long presentation from the Hausdorff Center for Mathematics.

Syllabus

Alex Iosevich: Signal recovery, restriction theory, and applications III


Taught by

Hausdorff Center for Mathematics

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