Tight frame approximation for multi-frames and super-frames

DOI10.1016/j.jat.2004.04.012zbMath1048.42028OpenAlexW2123239953MaRDI QIDQ1876665

De Guang Han

Publication date: 20 August 2004

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2004.04.012

zbMATH Keywords

framesGabor framesshift invariant subspacesmulti-frames and super frames approximationprojective unitary systems

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) General harmonic expansions, frames (42C15)

Related Items (11)

Multi-Frame Vectors for Unitary Systems in Hilbert $C^{*}$-modules ⋮ A class of vector-valued subspace weak Gabor duals of type II ⋮ Dimension invariance of finite frames of translates and Gabor frames ⋮ Approximation by partial isometries and symmetric approximation of finite frames ⋮ Frame vector multipliers for finite group representations ⋮ Subspace dual super wavelet and Gabor frames ⋮ Multi-frame vectors for unitary systems ⋮ Global symmetric approximation of frames ⋮ Tight and full spark Chebyshev frames with real entries and worst-case coherence analysis ⋮ Parseval frames for ICC groups ⋮ Frame fundamental sensor modeling and stability of one-sided frame perturbation

Cites Work

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• Von Neumann algebras associated with pairs of lattices in Lie groups
• Unitary approximation of positive operators
• Weyl-Heisenberg frames and Riesz bases in \(L_2(\mathbb{R}^d)\)
• Duality and biorthogonality for Weyl-Heisenberg frames
• Gabor time-frequency lattices and the Wexler-Raz identity
• Characterization and computation of canonical tight windows for Gabor frames
• Density of Gabor frames
• Incompleteness of sparse coherent states
• Symmetric approximation of frames and bases in Hilbert spaces
• Linear Algebra and Quantum Chemistry
• Frames, bases and group representations
• Approximations for Gabor and wavelet frames
• Frames and Stable Bases for Shift-Invariant Subspaces of L₂(ℝ^d)
• Subspace Weyl-Heisenberg frames
• Lattice tiling and the Weyl-Heisenberg frames

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