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| Date: | Tue, February 11, 2014 |
| Time: | 11:15 |
| Place: | Research I Seminar Room |
Abstract: The Balian-Low theorem states that the window function ᵩ of a Gabor Riesz basis (φ, a ℤ × b ℤ) for L2(ℝ) cannot be well-localized in time and in frequency. We extend this result to Gabor Riesz bases of subspaces of L2(ℝ) that are invariant under an time-frequency shift λ ∉ a ℤ × b ℤ.
These are new results that I just obtained with my Argentinian collaborators.