Sparse complete Gabor systems on a lattice
نویسندگان
چکیده
منابع مشابه
Regularity for Complete and Minimal Gabor Systems on a Lattice
Nonsymmetrically weighted extensions of the Balian– Low theorem are proved for Gabor systems G(g,1,1) that are complete and minimal in L(R). For g ∈ L(R), it is proved that if 3< p≤ 4≤ q <∞ satisfy 3/p+ 1/q = 1 and ∫ |x||g(x)| dx <∞ and ∫ |ξ||ĝ(ξ)| dξ < ∞ then G(g,1,1) = {eg(x − k)}k,n∈Z cannot be complete and minimal in L(R). For the endpoint case (p, q) = (3,∞), it is proved that if g ∈ L(R) ...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2004
ISSN: 1063-5203
DOI: 10.1016/j.acha.2003.10.003