Graduate Research/CAS Seminar

Götz Pfander

(Jacobs University)

"Infinite dimensional restricted invertibility and applications to Gabor frames"

Date: Fri, September 18, 2009
Time: 11:15
Place: Research I Seminar Room

Abstract: The Bourgain-Tzafriri Restricted Invertibility Theorem states conditions under which a Riesz basis can be extracted from a possibly overcomplete system of vectors in finite dimensional spaces. We extend the result to vector dictionaries in infinite dimensional Hilbert spaces using techniques developed in the theory of localized frames, and we state applications to Gabor systems. (Joint work with Peter G. Casazza, University of Missouri)