Duality of Gabor frames and Heisenberg modules
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Publication:2043499
DOI10.4171/JNCG/413zbMath1481.46055arXiv1806.05616OpenAlexW3123369132MaRDI QIDQ2043499
Franz Luef, Mads Sielemann Jakobsen
Publication date: 2 August 2021
Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.05616
Gabor framesnoncommutative torusHilbert \(C^\ast\)-modulesFeichtinger algebraHeisenberg modulesprojections in \(C^\ast\)-algebras
(C^*)-modules (46L08) General harmonic expansions, frames (42C15) Noncommutative geometry (à la Connes) (58B34)
Related Items (7)
Smooth lattice orbits of nilpotent groups and strict comparison of projections ⋮ The density theorem for projective representations via twisted group von Neumann algebras ⋮ The Balian-Low theorem for locally compact abelian groups and vector bundles ⋮ Gaussian Gabor frames, Seshadri constants and generalized Buser-Sarnak invariants ⋮ Spectral invariance of \(\ast\)-representations of twisted convolution algebras with applications in Gabor analysis ⋮ Heisenberg modules as function spaces ⋮ Sampling and periodization of generators of Heisenberg modules
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