Finite Balian Low Theorems in $\mathbb{R}^d$

Series: 
Analysis Seminar
Wednesday, February 14, 2018 - 13:55
1 hour (actually 50 minutes)
Location: 
Skiles 005
,  
Georgia Institute of technology
Organizer: 
We study Balian-Low type theorems for finite signals in $\mathbb{R}^d$, $d\geq 2$.Our results are generalizations of S. Nitzan and J.-F. Olsen's recent work and show that a quantity closelyrelated to the Balian-Low Theorem has the same asymptotic growth rate, $O(\log{N})$ for each dimension $d$.  Joint work with Michael Northington.