### Polya sequences, gap theorems, and Toeplitz kernels

- Series
- Analysis Seminar
- Time
- Wednesday, October 20, 2010 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 269
- Speaker
- Mishko Mitkovski – Georgia Tech

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.