Recent Developments in the Balian-Low Theorem
Wojciech K. Czaja, Alexander M. Powell · Birkhäuser Boston eBooks · 2007
The Balian-Low Theorem is one of many manifestations of the uncertainty principle in harmonic analysis. Originally stated as a result on the poor time-frequency localization of generating functions of Gabor orthonormal bases, it has become a synonym for many general and abstract problems in time-frequency analysis. In this chapter we present some of the directions in which the Balian-Low Theorem has been extended in recent years. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.