The Structure of Finitely Generated Shift-Invariant Subspaces in Super Hilbert Spaces
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Publication:4912755
DOI10.1080/01630563.2012.718022zbMath1263.42015OpenAlexW2002684830MaRDI QIDQ4912755
Publication date: 5 April 2013
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2012.718022
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)
Related Items (2)
The structure of finitely generated shift-invariant spaces in mixed Lebesgue spaces \(L^{p,q}\left( {\mathbb{R}}^{d+1}\right)\) ⋮ Dynamical sampling in multiply generated shift-invariant spaces
Cites Work
- Generalized shift-invariant systems
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- Vector sampling expansions in shift invariant subspaces
- Vector sampling expansion in Riesz bases setting and its aliasing error
- Excess of a class of g-frames
- Stability of the shifts of a finite number of functions
- The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
- Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
- The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
- Orthogonal frames of translates
- The shift-invariant subspaces in \(L_1(\mathbb{R})\)
- Super-wavelets and decomposable wavelet frames
- The infimum cosine angle between two finitely generated shift-invariant spaces and its applica\-tions
- Minimal generator sets for finitely generated shift-invariant subspaces of \(L^{2}(\mathbb R^{n})\)
- Frames and Stable Bases for Shift-Invariant Subspaces of L2(ℝd)
- An introduction to frames and Riesz bases
- Super Hilbert spaces
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