One-Dimensional Dyadic Wavelets
DOI10.1090/memo/1378zbMath1504.42001OpenAlexW4303439021MaRDI QIDQ5042710
Hrvoje Šikić, Edward N. Wilson, Fernando Soria, Peter M. Luthy, Guido Weiss
Publication date: 25 October 2022
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/memo/1378
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Linear operators on function spaces (general) (47B38) General harmonic expansions, frames (42C15) Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces (42-02)
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Cites Work
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- Invariance of a shift-invariant space in several variables
- \(\ell ^p\)-linear independence of the system of integer translates
- Lattice invariant subspaces and sampling
- Projections and dyadic Parseval frame MRA wavelets
- Extra invariance of shift-invariant spaces on LCA groups
- Ondelettes, analyses multirésolutions et filtres miroirs en quadrature. (Wavelets, multiscale analysis and quadrature mirror filters)
- The theory of multiresolution analysis frames and applications to filter banks
- Basic properties of wavelets
- 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
- Affine frames, quasi-affine frames, and their duals
- A unified characterization of reproducing systems generated by a finite family. II
- The spectral function of shift-invariant spaces
- Low-pass filters, martingales, and multiresolution analyses
- The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
- A unified characterization of reproducing systems generated by a finite family
- The characterization of low pass filters and some basic properties of wavelets, scaling functions and related concepts
- Riesz bases and multiresolution analyses
- The canonical dual frame of a wavelet frame
- Tight frame wavelets, their dimension functions, MRA tight frame wavelets and connectivity properties
- Solution of two problems on wavelets
- Generalized multi-resolution analyses and a construction procedure for all wavelet sets in \(\mathbb{R}^n\)
- Subspaces of \(L^2(G)\) invariant under translation by an abelian subgroup
- The Zak transform and the structure of spaces invariant by the action of an LCA group
- Invariance of a shift-invariant space
- Schauder bases of integer translates
- On the existence of multiresolution analysis for framelets
- Sets of uniqueness and multiplicity for \(l^{p,\alpha}\)
- Intersection of dilates of shift-invariant spaces
- Ten Lectures on Wavelets
- n × Oversampling Preserves any Tight Affine Frame for Odd n
- Affine frames, GMRA's, and the canonical dual
- 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
- Linear independence and sets of uniqueness
- Cyclic subspaces for unitary representations of LCA groups; generalized Zak transform
- A note on integer translates of a square integrable function on R
- Baggett’s Problem for Frame Wavelets
- A characterization of dimension functions of wavelets
- Characterizations of biorthogonal wavelets which are associated with biorthogonal multiresolution analyses
- Characterizations of orthonormal scale functions: A probabilistic approach
- Generalized low pass filters and MRA frame wavelets
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