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arxiv: 1205.0163 · v1 · pith:GGU72EOQnew · submitted 2012-05-01 · 🧮 math.CA · math.FA

A quantitative Balian-Low theorem

classification 🧮 math.CA math.FA
keywords balian-lowfunctionsquantitativetheorembasesclassicalestimateextends
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We study functions generating Gabor Riesz bases on the integer lattice. The classical Balian-Low theorem restricts the simultaneous time and frequency localization of such functions. We obtain a quantitative estimate that extends both this result and other related theorems.

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