Exponential frames and syndetic Riesz sequences

Series
Analysis Seminar
Time
Wednesday, September 19, 2018 - 1:55pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Marcin Bownik – University of Oregon
Organizer
Shahaf Nitzan
In this talk we shall explore some of the consequences of the solution to the Kadison-Singer problem. In the first part of the talk we present results from a joint work with Itay Londner. We show that every subset S of the torus of positive Lebesgue measure admits a Riesz sequence of exponentials {eiλx}λΛ in L2(S) such that ΛZ is a set with gaps between consecutive elements bounded by C/|S|. In the second part of the talk we shall explore a higher rank extension of the main result of Marcus, Spielman, and Srivastava, which was used in the solution of the Kadison-Singer problem.