Duals of frame sequences

DOI10.1007/s10440-008-9410-4zbMath1178.42031OpenAlexW1980120588MaRDI QIDQ1038739

Yoo Young Koo, Christopher Heil, Jae Kun Lim

Publication date: 20 November 2009

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9410-4

zbMATH Keywords

shift-invariant spaceframeframe dual

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (10)

Simple Construction of a Frame which is $epsilon$-nearly Parseval and $epsilon$-nearly Unit Norm ⋮ Duals and multipliers of controlled frames in Hilbert spaces ⋮ Convex potentials and optimal shift generated oblique duals in shift invariant spaces ⋮ Shannon-type sampling for multivariate non-bandlimited signals ⋮ Approximate oblique dual \(g\)-frames for closed subspaces of Hilbert spaces ⋮ Existence of Parseval oblique duals of a frame sequence ⋮ PERTURBED FRAME SEQUENCES: CANONICAL DUAL SYSTEMS, APPROXIMATE RECONSTRUCTIONS AND APPLICATIONS ⋮ Nonnegativity constraints for structured complete systems ⋮ Applications of Parameterizations of Oblique Duals of a Frame Sequence ⋮ Angle \(R\)

Cites Work

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• Invariances of frame sequences under perturbations
• Perturbation of frame sequences and its applications to shift-invariant spaces
• The theory of multiresolution analysis frames and applications to filter banks
• The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
• Grassmannian frames with applications to coding and communication
• Foundations of time-frequency analysis
• The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
• Oblique dual frames and shift-invariant spaces
• Pseudoframes for subspaces with applications
• The uniqueness of the dual of Weyl--Heisenberg subspace frames
• Frames and pseudo-inverses
• The uniqueness of shift-generated duals for frames in shift-invariant subspaces
• Pairs of explicitly given dual Gabor frames in \(L^{2}(\mathbb R^{d})\)
• Continuous curvelet transform. II: Discretization and frames
• The infimum cosine angle between two finitely generated shift-invariant spaces and its applica\-tions
• Sigma-delta (/spl Sigma//spl Delta/) quantization and finite frames
• Oblique projections, biorthogonal Riesz bases and multiwavelets in Hilbert spaces
• Continuous and Discrete Wavelet Transforms
• Frames and Stable Bases for Shift-Invariant Subspaces of L₂(ℝ^d)
• An introduction to frames and Riesz bases
• Frames of translates

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