Polya sequences, gap theorems, and Toeplitz kernels

Analysis Seminar
Wednesday, October 20, 2010 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 269
Mishko Mitkovski – Georgia Tech
Brett Wick
A separated sequence of real numbers is called a Polya sequence if the only entire functions of zero type which are bounded on this sequence are the constants. The Polya-Levinson problem asks for a description of all Polya sequences. In this talk, I will present some points of the recently obtained solution. The approach is based on the use of Toeplitz operators and de Branges spaces of entire functions. I will also present some partial results about the related Beurling gap problem.