When:
Wednesday, February 26, 2025
4:30 PM - 5:30 PM CT
Where: Lunt Hall, 105, 2033 Sheridan Road, Evanston, IL 60208 map it
Audience: Faculty/Staff - Student - Public - Post Docs/Docs - Graduate Students
Contact:
Aaron Brown
(847) 491-3298
Group: Department of Mathematics: Colloquium
Category: Lectures & Meetings
Title: Fourier series, signal recovery, and real-life applications
Abstract: We are going to discuss the following basic problem. Suppose that f: ℤₙ → ℂ is a signal, and suppose that the values {f(x) : x ∈ M} are missing for some M⊂ ℤₙ. Under what reasonable conditions can we recover the missing values exactly? We are going to discuss the basic theory behind this problem, prove a couple of simple results, and then apply them to the recovery of the missing values in real-life time series. The lecture will be almost entirely self-contained.