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.