Sparse complete Gabor systems on a lattice.

DOI10.1016/j.acha.2003.10.003zbMath1034.42031OpenAlexW2087421488MaRDI QIDQ1421497

Yang Wang

Publication date: 26 January 2004

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2003.10.003

zbMATH Keywords

completenessGabor systemBeurling densityWeyl-Heisenberg system

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Related Items (3)

Generalized Fourier frames in terms of balayage ⋮ Weighted irregular Gabor tight frames and dual systems using windows in the Schwartz class ⋮ Tight Gabor frames associated with non-separable lattices and the hyperbolic secant

Cites Work

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• Von Neumann algebras associated with pairs of lattices in Lie groups
• Signal analytic proofs of two basic results on lattice expansions
• Differentiation and the Balian-Low theorem
• Foundations of time-frequency analysis
• Incompleteness of sparse coherent states
• A sparse regular sequence of exponentials closed on large sets

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