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.
CITATION STYLE
Czaja, W., & Powell, A. M. (2006). Recent Developments in the Balian-Low Theorem. In Applied and Numerical Harmonic Analysis (pp. 79–100). Springer International Publishing. https://doi.org/10.1007/0-8176-4504-7_5
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