A class of affine Wigner functions with extended covariance properties

DOI10.1063/1.529570zbMath0787.22022OpenAlexW1983230642MaRDI QIDQ4033960

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Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1063/1.529570

zbMATH Keywords

phase space representationsaffine grouptheory of signalsaffine Wigner functionssolvable three-parameter Lie groups

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (9)

Signals on graphs: transforms and tomograms ⋮ The affine Wigner distribution ⋮ Fourier analysis on the affine group, quantization and noncompact Connes geometries ⋮ Computationally efficient scale covariant time-frequency distributions ⋮ Smoothed affine Wigner transform ⋮ Separability, positivity, and minimum uncertainty in time–frequency energy distributions ⋮ Symbolic calculus on the time-frequency half-plane ⋮ Covariant affine integral quantization(s) ⋮ On the time-frequency detection of chirps

Cites Work

• The fundamental invariants of inhomogeneous classical groups
• The metaplectic group within the Heisenberg–Weyl ring
• Invariants of real low dimension Lie algebras
• On the Quantum Correction For Thermodynamic Equilibrium
• The calculus of pseudo—differential operators of fuchs type

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