On Parseval Wavelet Frames via Multiresolution Analyses in
From MaRDI portal
Publication:5215652
DOI10.4153/S0008439519000341zbMath1471.42077arXiv1611.00915OpenAlexW2963537211MaRDI QIDQ5215652
Publication date: 12 February 2020
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.00915
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)
Related Items
Density order of Parseval wavelet frames from extension principles ⋮ Two families of compactly supported Parseval framelets in \(L^2( \mathbb{R}^d)\)
Cites Work
- Extension principles for dual multiwavelet frames of \(L_2(\mathbb R^s)\) constructed from multirefinable generators
- Multivariate wavelet frames
- Generalized multiresolution structures in reducing subspaces of \(L^2(\mathbb R^d)\)
- Closure of dilates of shift-invariant subspaces
- Nonhomogeneous wavelet systems in high dimensions
- An embedding theorem on reducing subspace frame multiresolution analysis
- Refinable function-based construction of weak (quasi-)affine bi-frames
- Pairs of frequency-based nonhomogeneous dual wavelet frames in the distribution space
- Semi-orthogonal parseval frame wavelets and generalized multiresolution analyses
- Construction and reconstruction of tight framelets and wavelets via matrix mask functions
- Differentiation of real functions
- 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
- Riesz wavelets and generalized multiresolution analyses.
- On the construction of multivariate (pre)wavelets
- Riesz bases and multiresolution analyses
- On Riesz wavelets associated with multiresolution analyses
- Compactly supported tight and sibling frames with maximum vanishing moments
- Compactly supported tight affine frames with integer dilations and maximum vanishing moments
- Framelets: MRA-based constructions of wavelet frames
- Generalized multi-resolution analyses and a construction procedure for all wavelet sets in \(\mathbb{R}^n\)
- Extension principles for affine dual frames in reducing subspaces
- Affine dual frames and extension principles
- Reducing subspace frame multiresolution analysis and frame wavelets
- GMRA-BASED CONSTRUCTION OF FRAMELETS IN REDUCING SUBSPACES OF L2(ℝd)
- Characterization of low pass filters in a multiresolution analysis
- Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/
- Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
- Multiresolution and wavelets
- Frame wavelets in subspaces of $L^2(\mathbb R^d)$
- Biorthogonal wavelets, MRA's and shift-invariant spaces
- A necessary and sufficient condition for the existence of a father wavelet
- On translation invariant multiresolution analysis
- A Class of Nonharmonic Fourier Series
- An introduction to frames and Riesz bases
- Characterizations of biorthogonal wavelets which are associated with biorthogonal multiresolution analyses
- Explicit construction of framelets
- A characterization of wavelet families arising from biorthogonal MRA's of multiplicity \(d\)
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item