Phase space localization of Riesz bases for \(L^2(\mathbb{R}^d)\)

DOI10.4171/RMI/715zbMath1262.81081arXiv1102.3097MaRDI QIDQ1941170

Eugenia Malinnikova, Karlheinz Gröchening

Publication date: 11 March 2013

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.3097

zbMATH Keywords

Riesz basisuncertainty principleBalian-Low theoremlocalized frame

Mathematics Subject Classification ID

Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) General harmonic expansions, frames (42C15) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (15)

Amrein-Berthier and Logvinenko-Sereda uncertainty principles for the Hankel-Stockwell transform ⋮ The Balian-Low theorem and noncommutative tori ⋮ Smooth lattice orbits of nilpotent groups and strict comparison of projections ⋮ Geometric conditions for multiple sampling and interpolation in the Fock space ⋮ Riesz bases by replacement ⋮ Uncertainty principles for the Hankel-Stockwell transform ⋮ A sharp Balian-Low uncertainty principle for shift-invariant spaces ⋮ Sharp rates of convergence for accumulated spectrograms ⋮ Generalized Balian-Low theorem associated with the linear canonical transform ⋮ Phase space localization of orthonormal sequences in \(L_\alpha^2(\mathbb{R}_+)\) ⋮ Balian-Low type theorems in finite dimensions ⋮ Dilation of the Weyl symbol and Balian-Low theorem ⋮ Nonnegativity constraints for structured complete systems ⋮ Gabor orthogonal bases and convexity ⋮ SHAPIRO’S UNCERTAINTY PRINCIPLE IN THE DUNKL SETTING

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