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

Series
Analysis Seminar
Time
Wednesday, February 14, 2018 - 1:55pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Josiah Park – Georgia Institute of technology – http://people.math.gatech.edu/~jpark685/
Organizer
Galyna Livshyts
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.