On the uniqueness sets in the Bergmann-Fock space

Analysis Seminar
Wednesday, April 13, 2011 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 005
Mishko Mitkovski – School of Mathematics, Georgia Tech
Brett Wick
It is well known that, via the Bargmann transform, the completeness problems for both Gabor systems in signal processing and coherent states in quantum mechanics are equivalent to the uniqueness set problem in the Bargmann-Fock space. We introduce an analog of the Beurling-Malliavin density to try to characterize these uniqueness sets and show that all sets with such density strictly less than one cannot be uniqueness sets. This is joint work with Brett Wick.