Regularity for complete and minimal Gabor systems on a lattice

zbMath1207.42025MaRDI QIDQ610640

Alexander M. Powell, Christopher Heil

Publication date: 8 December 2010

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1290435340

zbMATH Keywords

Gabor systemBalian-Low theoremexact systemmixed Sobolev space

Mathematics Subject Classification ID

Characterizations of Hilbert spaces (46C15) General harmonic expansions, frames (42C15) Uniqueness and localization for orthogonal series (42C25)

Related Items (6)

A sharp Balian-Low uncertainty principle for shift-invariant spaces ⋮ From exact systems to Riesz bases in the Balian-Low theorem ⋮ Balian-Low type theorems in finite dimensions ⋮ Uncertainty principles for Fourier multipliers ⋮ An endpoint Balian-Low theorem for Schauder bases ⋮ Time-frequency concentration of generating systems

Cites Work

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• Foundations of time-frequency analysis
• Advances in Gabor analysis
• A $(p,q)$ version of Bourgain’s theorem
• Gabor Schauder bases and the Balian-Low theorem
• Harmonic Analysis in Phase Space. (AM-122)
• Two theorems on lattice expansions
• An uncertainty principle related to the Poisson summation formula
• An introduction to frames and Riesz bases

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