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Christopher Heil
Georgia Tech
Schauder bases, exact systems, and the Balian-Low Theorem
Monday, November 14 3pm, 646 PGH
Abstract
The Balian-Low Theorem is a strong form of the uncertainty principle
for Gabor systems that form orthonormal or Riesz bases for L^2(R).
In this talk we will discuss the Balian-Low Theorem in the setting of
Schauder bases and exact Gabor systems that need not be bases. We will
give weak versions of the Balian-Low Theorem for Gabor Schauder bases,
and constructively demonstrate that several variants of the BLT can fail
for Gabor Schauder bases that are not Riesz bases. We also give
new (p,q)-Balian-Low Theorems for exact Gabor systems, and discuss
some related open problems.
Webmaster University of Houston
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Last modified: April 08 2016 - 07:21:37