Heisenberg groups -- a unifying structure of signal theory, holography and quantum information theory

DOI10.1007/BF02935722zbMath1017.22006OpenAlexW2021380669MaRDI QIDQ1871425

Sonja Pods, Ernst Binz, Walter Johannes Schempp

Publication date: 8 May 2003

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02935722

zbMATH Keywords

holographymagnetic resonance imagingsignal theorytime-frequency analysisgeometric opticsHeisenberg groupsquantum information

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Nilpotent and solvable Lie groups (22E25) Geometric optics (78A05)

Related Items (2)

Localized bases in \(L^2(0,1)\) and their use in the analysis of Brownian motion ⋮ Heisenberg groups -- a unifying structure of signal theory, holography and quantum information theory

Cites Work

• Geometric quantization and quantum mechanics
• Weyl transforms
• Vector fields in three-space, natural internal degrees of freedom, signal transmission and quantization.
• Foundations of time-frequency analysis
• Information technology: the Lie groups defining the filter banks of the compact disc
• Heisenberg groups -- a unifying structure of signal theory, holography and quantum information theory
• Harmonic Analysis in Phase Space. (AM-122)
• The world as a hologram
• Principles of Optics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Heisenberg groups -- a unifying structure of signal theory, holography and quantum information theory