Perturbation of frame sequences in shift-invariant spaces
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Publication:2577085
DOI10.1007/BF02922191zbMath1087.42022OpenAlexW2119831876MaRDI QIDQ2577085
Ole Christensen, Hong Oh Kim, Jae Kun Lim, Rae Young Kim
Publication date: 3 January 2006
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02922191
Related Items (9)
Invariances of frame sequences under perturbations ⋮ Characterization and perturbation of Gabor frame sequences with rational parameters ⋮ Perturbation of frame sequences and its applications to shift-invariant spaces ⋮ Making more approximate oblique dual frame pairs ⋮ The effect of perturbations of frames on their alternate and approximately dual frames ⋮ PERTURBED FRAME SEQUENCES: CANONICAL DUAL SYSTEMS, APPROXIMATE RECONSTRUCTIONS AND APPLICATIONS ⋮ Singular value estimates of oblique projections ⋮ Characterization of the closedness of the sum of two shift-invariant spaces ⋮ The infimum cosine angle between two finitely generated shift-invariant spaces and its applica\-tions
Cites Work
- The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
- Oblique dual frames and shift-invariant spaces
- Irregular wavelet/Gabor frames
- On the stability of frames and Riesz bases
- The infimum cosine angle between two finitely generated shift-invariant spaces and its applica\-tions
- Operators with Closed Range, Pseudo-Inverses, and Perturbation of Frames for a Subspace
- Biorthogonal wavelets, MRA's and shift-invariant spaces
- A Paley-Wiener Theorem for Frames
- Frames and Stable Bases for Shift-Invariant Subspaces of L2(ℝd)
- Oblique projections in atomic spaces
- An introduction to frames and Riesz bases
- On the stability of Gabor frames
- Perturbation of frames for a subspace of a Hilbert space.
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