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arXiv:1205.0163 [math.CA]AbstractReferencesReviewsResources

A quantitative Balian-Low theorem

Shahaf Nitzan, Jan-Fredrik Olsen

Published 2012-05-01Version 1

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.

Comments: 11 pages
Categories: math.CA, math.FA
Subjects: 42C15, 42A38
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