The Balian–Low theorem for the symplectic form on R2d

DOI10.1063/1.1559415zbMath1062.42026arXivmath/0212186OpenAlexW1586340669MaRDI QIDQ4832975

Wojciech Czaja, Andrei Ya. Maltsev, John J. Benedetto

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0212186

zbMATH Keywords

uncertainty principleseveral variablesGabor systemBalian-Low theorem

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15)

Related Items (9)

Frame expansions for Gabor multipliers ⋮ Gabor Schauder bases and the Balian-Low theorem ⋮ Balian–Low phenomenon for subspace Gabor frames ⋮ A sharp Balian-Low uncertainty principle for shift-invariant spaces ⋮ The Balian–Low theorem for a new kind of Gabor system ⋮ Dilation of the Weyl symbol and Balian-Low theorem ⋮ Balian-Low type theorems on \(L^2(\mathbb{C})\) ⋮ A $(p,q)$ version of Bourgain’s theorem ⋮ Symmetric Wilson systems

Cites Work

• A wavelet auditory model and data compression
• Irregular sampling of wavelet and short-time Fourier transforms
• Incompleteness of sparse coherent states
• Hermitian symplectic geometry and extension theory
• Phase space localization theorem for ondelettes
• The wavelet transform, time-frequency localization and signal analysis
• Two theorems on lattice expansions
• Discrete multi-Gabor expansions

This page was built for publication: The Balian–Low theorem for the symplectic form on R2d