Completeness of Gabor systems

DOI10.1016/j.jat.2016.03.001zbMath1337.42031arXiv1507.02124OpenAlexW2289531724MaRDI QIDQ281567

Antti Haimi, José Luis Romero, Karlheinz Gröchening

Publication date: 11 May 2016

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.02124

zbMATH Keywords

completenessframeHermite functionGabor systemcoherent statetotally positive function

Mathematics Subject Classification ID

Coherent states (81R30) General harmonic expansions, frames (42C15) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Related Items (8)

The density theorem for discrete series representations restricted to lattices ⋮ Gabor frames for rational functions ⋮ A stability problem for some complete and minimal Gabor systems in $L^2(\mathbb {R})$ ⋮ On some Hermite series identities and their applications to Gabor analysis ⋮ Some curious results related to a conjecture of Strohmer and Beaver ⋮ Generalized Wehrl entropies and Euclidean Landau levels ⋮ Vector-valued weak Gabor dual frames on discrete periodic sets ⋮ A symmetry property for polyharmonic functions vanishing on equidistant hyperplanes

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