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The Balian–Low theorem and noncommutative tori

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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. Click to show full 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.

Keywords: theorem noncommutative; low theorem; balian low; noncommutative tori

Journal Title: Expositiones Mathematicae
Year Published: 2018

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