The Balian-Low theorem regularity of Gabor systems

DOI10.1007/BF02930696zbMath1037.42030MaRDI QIDQ1407751

Wojciech Czaja, Przemysław Gadziński, Alexander M. Powell, John J. Benedetto

Publication date: 10 November 2003

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

orthonormal basisGabor systemBalian-Low theorem

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Related Items (22)

Gabor Schauder bases and the Balian-Low theorem ⋮ Uncertainty principle for Gabor systems and the Zak transform ⋮ Balian–Low phenomenon for subspace Gabor frames ⋮ Uncertainty principles for orthonormal sequences ⋮ Regularity for complete and minimal Gabor systems on a lattice ⋮ A sharp Balian-Low uncertainty principle for shift-invariant spaces ⋮ Phase space localization of Riesz bases for \(L^2(\mathbb{R}^d)\) ⋮ A quantitative Balian-low theorem for higher dimensions ⋮ From exact systems to Riesz bases in the Balian-Low theorem ⋮ A quantitative Balian-Low theorem ⋮ A decay result for certain windows generating orthogonal Gabor bases ⋮ Balian-Low type theorems in finite dimensions ⋮ The Balian–Low theorem for a new kind of Gabor system ⋮ Uncertainty principles and Balian-Low type theorems in principal shift-invariant spaces ⋮ Dilation of the Weyl symbol and Balian-Low theorem ⋮ Uncertainty principles for Fourier multipliers ⋮ Uncertainty principles in finitely generated shift-invariant spaces with additional invariance ⋮ Orthonormal bases in the orbit of square-integrable representations of nilpotent Lie groups ⋮ A $(p,q)$ version of Bourgain’s theorem ⋮ Balian-low theorems in several variables ⋮ An endpoint Balian-Low theorem for Schauder bases ⋮ RATIONAL TIME-FREQUENCY VECTOR-VALUED SUBSPACE GABOR FRAMES AND BALIAN-LOW THEOREM

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