Nonhomogeneous dual wavelet frames and mixed oblique extension principles in Sobolev spaces
From MaRDI portal
Publication:4576746
DOI10.1080/00036811.2017.1298745zbMath1409.42028OpenAlexW2593290531WikidataQ58242208 ScholiaQ58242208MaRDI QIDQ4576746
Publication date: 10 July 2018
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2017.1298745
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)
Related Items (7)
Weak nonhomogeneous wavelet dual frames for Walsh reducing subspace of L2(ℝ+) ⋮ A Characterization of (Weak) Nonhomogeneous Wavelet Dual Frames and Mixed Oblique Principle in Sobolev Spaces on the Half Real Line ⋮ Walsh shift-invariant sequences and \(p\)-adic nonhomogeneous dual wavelet frames in \(L^{2}(\mathbb{R}_{+})\) ⋮ A class of weak dual wavelet frames for reducing subspaces of Sobolev spaces ⋮ A characterization of nonhomogeneous wavelet bi-frames for reducing subspaces of Sobolev spaces ⋮ A characterization of nonhomogeneous dual and weak dual wavelet superframes for Walsh‐reducing subspace of L2(ℝ+,ℂL)$$ {L}^2\left({\mathbb{R}}_{+},{\mathbb{C}}^L\right) $$ ⋮ Dualwavelet frames in Sobolev spaces on local fields of positive characteristic
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On extensions of wavelet systems to dual pairs of frames
- Nonhomogeneous wavelet systems in high dimensions
- Refinable function-based construction of weak (quasi-)affine bi-frames
- Multiwavelet sampling theorem in Sobolev spaces
- Pairs of frequency-based nonhomogeneous dual wavelet frames in the distribution space
- Characterization of Sobolev spaces of arbitrary smoothness using nonstationary tight wavelet frames
- Affine frame decompositions and shift-invariant spaces
- Wavelet bi-frames with few generators from multivariate refinable functions
- Multivariate FMRAs and FMRA frame wavelets for reducing subspaces of \(L^2(\mathbb R^d)\)
- Construction and reconstruction of tight framelets and wavelets via matrix mask functions
- Dual wavelet frames and Riesz bases in Sobolev spaces
- Nonlinear approximation schemes associated with nonseparable wavelet bi-frames
- The theory of multiresolution analysis frames and applications to filter banks
- Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
- On dual wavelet tight frames
- Tight frames of multidimensional wavelets
- Affine systems in \(L_2(\mathbb{R}^d)\). II: Dual systems
- Affine frames, quasi-affine frames, and their duals
- Compactly supported wavelet bases for Sobolev spaces
- Compactly supported tight frames associated with refinable functions
- Tight wavelet frames in Lebesgue and Sobolev spaces
- Bi-framelet systems with few vanishing moments characterize Besov spaces
- Compactly supported tight and sibling frames with maximum vanishing moments
- Framelets: MRA-based constructions of wavelet frames
- Pairs of dual wavelet frames from any two refinable functions
- Bessel multiwavelet sequences and dual multiframelets in Sobolev spaces
- A characterization of affine dual frames in \(L^2(\mathbb{R}^n)\)
- Affine dual frames and extension principles
- The geometry and the analytic properties of isotropic multiresolution analysis
- On multivariate compactly supported bi-frames
- Reducing subspace frame multiresolution analysis and frame wavelets
- Wavelets and Framelets Within the Framework of Nonhomogeneous Wavelet Systems
- GMRA-BASED CONSTRUCTION OF FRAMELETS IN REDUCING SUBSPACES OF L2(ℝd)
- Tight frames of compactly supported affine wavelets
- Tight compactly supported wavelet frames of arbitrarily high smoothness
- A necessary and sufficient condition for the existence of a father wavelet
- On Parseval Wavelet Frames with Two or Three Generators via the Unitary Extension Principle
- A Class of Nonharmonic Fourier Series
- An introduction to frames and Riesz bases
- Explicit construction of framelets
- A characterization of wavelets on general lattices.
This page was built for publication: Nonhomogeneous dual wavelet frames and mixed oblique extension principles in Sobolev spaces
