MPHA Seminar, Blocker 627, 5th October 2007, 1:50pm

Speaker: Alexei Poltoratski, Texas A&M
Title: Toeplitz kernels, completeness and spectral problems
for differential operators

Abstract: I will discuss a generalized version of the classical
Beurling-Malliavin theory developed recently in our joint work with
N. Makarov.  The BM theory was initially created to solve the problem
of completeness of exponential functions in L^2 on an interval. Its
generalized version concernes problems of injectivity of Toeplitz
operators in various classes of analytic functions. Most of the talk
will be devoted to applications to completeness problems for families
of special functions and spectral problems for Schroedinger operators.