Sequence dominance in shift-invariant spaces
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Publication:785671
DOI10.1007/s00041-020-09765-3zbMath1439.42042OpenAlexW3037902375MaRDI QIDQ785671
Publication date: 7 August 2020
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00041-020-09765-3
framesbasesRiesz basesBesselian propertyHilbertian propertyperiodization functionshift invariant systems
General harmonic expansions, frames (42C15) Convergence and absolute convergence of Fourier and trigonometric series (42A20)
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Maximal cyclic subspaces for dual integrable representations ⋮ Spaces generated by orbits of unitary representations: a tribute to Guido Weiss
Cites Work
- A basis theory primer.
- Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
- The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
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- Hilbert space frames containing a Riesz basis and Banach spaces which have no subspace isomorphic to \(c_ 0\)
- Schauder bases of integer translates
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- Pre-Frame Operators, Besselian Frames, and Near-Riesz Bases in Hilbert Spaces
- A sharp correction theorem
- Frames and Stable Bases for Shift-Invariant Subspaces of L2(ℝd)
- $\ell ^2$-Linear independence for the system of integer translates of a square integrable function
- Cyclic subspaces for unitary representations of LCA groups; generalized Zak transform
- Weighted Norm Inequalities for the Hardy Maximal Function
- Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
- Generalized low pass filters and MRA frame wavelets
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