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Stability of Gabor frames and non-harmonic frames with Dr. Pierluigi Vellucci

This is a past event.

Friday, October 21, 2022 at 3:00pm to 4:00pm

DM - Deuxieme Maison, 409A
11200 SW 8th ST, Deuxieme Maison, Miami, Florida 33199

Speaker.  Pierluigi Vellucci, University of Rome,  Italy.

Title. Stability of Gabor frames and non-harmonic frames

Abstract. This talk consists of two parts connected to one another. In the first part we discuss the stability of complex exponential frames e iλnt n∈Z in L 2 (−π, π), giving the explicit upper and lower bounds for general complex exponential frames perturbed along the entire complex plane. In the second part we prove stability results for a class of Gabor frames in L 2 (R), considering window functions and B-splines of order p ≥ 1. Our results can be used to describe the effect of the timing jitters in the p-order hold models of signal reconstruction.

Graduate students are encouraged to attend.

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Meeting ID: 930 5388 4755

Passcode: AAM2022



Department of Mathematics and Statistics
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