A critical-exponent Balian-Low theorem

Details A critical-exponent Balian-Low theorem A critical-exponent Balian-Low theorem

2007-03-30

arxiv.org/abs/math/0703905v2

Math. Res. Lett. 15 (2008), no. 3, 471--483

Mathematics

Classical Analysis and ODEs

14 pages, 1 figure, minor typos corrected, Remark (2) modified

Scientific paper

Using a variant of the Sobolev Embedding Theorem, we prove an uncertainty principle related to Gabor systems that generalizes the Balian-Low Theorem. Namely, if $f\in H^{p/2}(\R)$ and $\hat f\in H^{p'/2}(\R)$ with $1

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