The canonical group of transformations of a Weyl-Heisenberg frame; applications to Gaussian and Hermitian frames

DOI10.1016/j.geomphys.2016.12.019zbMath1357.81104OpenAlexW2564094815MaRDI QIDQ512103

Maurice A. De Gosson

Publication date: 23 February 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2016.12.019

zbMATH Keywords

symplectic groupGaussian functionsWeyl-Heisenberg framemetaplectic groupHermitian functions

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Applications of differential geometry to physics (53Z05) General harmonic expansions, frames (42C15) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (6)

Note on the Wigner distribution and localization operators in the quasi-Banach setting ⋮ Discrete vector-valued nonuniform Gabor frames ⋮ On matrix-valued wave packet frames in \(L^2(\mathbb{R}^d, \mathbb{C}^{s\times r})\) ⋮ Gaussian distributions and phase space Weyl-Heisenberg frames ⋮ Construction of \(P^{th}\)-stage nonuniform discrete wavelet frames ⋮ Multivariate Gabor frames for operators in matrix-valued signal spaces over locally compact abelian groups

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