A Critical-exponent Balian-low Theorem
نویسنده
چکیده
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 ∈ H(R) and f̂ ∈ H /2(R) with 1 < p < ∞, 1 p + 1 p′ = 1, then the Gabor system G(f, 1, 1) is not a frame for L(R). In the p = 1 case, we obtain a generalization of the result in [BCPS].
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