Density conditions for coherent state subsystems of nilpotent Lie groups
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Publication:6547682
DOI10.1007/978-3-031-48579-4_22MaRDI QIDQ6547682
Publication date: 30 May 2024
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Analysis on other specific Lie groups (43A80)
Cites Work
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- Geometry of locally compact groups of polynomial growth and shape of large balls
- Coherent state representations of nilpotent Lie groups
- Sparse complete Gabor systems on a lattice.
- Foundations of time-frequency analysis
- Approximate lattices
- Redundancy for localized frames
- Orthonormal bases in the orbit of square-integrable representations of nilpotent Lie groups
- Square integrable representations, von Neumann algebras and an application to Gabor analysis
- Incompleteness of sparse coherent states
- Duality of Gabor frames and Heisenberg modules
- Leptin densities in amenable groups
- Smooth lattice orbits of nilpotent groups and strict comparison of projections
- On sufficient density conditions for lattice orbits of relative discrete series
- Balian-Low type theorems on homogeneous groups
- Compactly supported bounded frames on Lie groups
- Deformation of Gabor systems
- History and evolution of the density theorem for Gabor frames
- Density, overcompleteness, and localization of frames. II: Gabor systems
- Density, overcompleteness, and localization of frames. I: Theory
- Coherent states for arbitrary Lie group
- On exponential bases and frames with non-linear phase functions and some applications
- The density theorem for projective representations via twisted group von Neumann algebras
- The density theorem for discrete series representations restricted to lattices
- Analysis on Fock Spaces
- Painless nonorthogonal expansions
- Harmonic Analysis in Phase Space. (AM-122)
- Density of sampling and interpolation in reproducing kernel Hilbert spaces
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Coherent States and Applications in Mathematical Physics
- Square Integrable Representations of Nilpotent Groups
- Dilation of the Weyl symbol and Balian-Low theorem
- Overcompleteness of coherent frames for unimodular amenable groups
- Orthonormal bases arising from nilpotent actions
- Gaussian Gabor frames, Seshadri constants and generalized Buser-Sarnak invariants
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