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The Balian-Low theorem and noncommutative tori

Published 3 Jul 2015 in math.OA and math.FA | (1507.00793v3)

Abstract: We point out a link between the theorem of Balian and Low on the non-existence of well-localized Gabor-Riesz bases and a constant curvature connection on projective modules over noncommutative tori.

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