Time-frequency shift invariance and the amalgam Balian-Low theorem

DOI10.1016/j.acha.2015.04.003zbMath1360.46021arXiv1410.7085OpenAlexW2045793207MaRDI QIDQ326759

Götz E. Pfander, Carlos A. Cabrelli, Ursula M. Molter

Publication date: 12 October 2016

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

Full work available at URL: https://arxiv.org/abs/1410.7085

zbMATH Keywords

Gabor framestime-frequency analysisadditional shift invarianceBalian-Low theoremFeichtinger algebra

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items

Time-frequency shift invariance of Gabor spaces generated by integer lattices ⋮ A Balian-Low type theorem for Gabor Riesz sequences of arbitrary density ⋮ Generalized Balian-Low theorem associated with the linear canonical transform ⋮ A quantitative subspace Balian-Low theorem ⋮ A Balian-Low theorem for subspaces

Cites Work

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• Invariance of a shift-invariant space in several variables
• Sampling of operators
• Uncertainty principles and Balian-Low type theorems in principal shift-invariant spaces
• A decay result for certain windows generating orthogonal Gabor bases
• Extra invariance of shift-invariant spaces on LCA groups
• On a new Segal algebra
• Analysis of multiwindow Gabor-type schemes by frame methods
• Gabor frames and time-frequency analysis of distributions
• Differentiation and the Balian-Low theorem
• Gabor time-frequency lattices and the Wexler-Raz identity
• Foundations of time-frequency analysis
• The Balian-Low theorem for symplectic lattices in higher dimensions
• Principal shift-invariant spaces with extra invariance nearest to observed data
• History and evolution of the density theorem for Gabor frames
• Invariance of a shift-invariant space
• Measurement of Time-Variant Linear Channels
• The wavelet transform, time-frequency localization and signal analysis
• Oversampling in the Gabor scheme
• 10.1162/jmlr.2003.4.7-8.1339
• Balian–Low phenomenon for subspace Gabor frames
• Identification of Operators with Bandlimited Symbols