Nonhomogeneous wavelet dual frames and extension principles in reducing subspaces

DOI10.1155/2020/1716525zbMath1451.42043OpenAlexW3035585021MaRDI QIDQ780460

Publication date: 15 July 2020

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/1716525

zbMATH Keywords

mixed extension principles mixed oblique extension principles nonhomogeneous wavelet frames

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
On extensions of wavelet systems to dual pairs of frames
Image restoration: a wavelet frame based model for piecewise smooth functions and beyond
Extension principles for dual multiwavelet frames of $L_2(\mathbb R^s)$ constructed from multirefinable generators
Nonhomogeneous wavelet systems in high dimensions
Subspace dual super wavelet and Gabor frames
Pairs of frequency-based nonhomogeneous dual wavelet frames in the distribution space
Homogeneous wavelets and framelets with the refinable structure
Extension principles for tight wavelet frames of periodic functions
Wavelet bi-frames with few generators from multivariate refinable functions
Integrodifferential equations for continuous multiscale wavelet shrinkage
Construction and reconstruction of tight framelets and wavelets via matrix mask functions
Constructions of periodic wavelet frames using extension principles
Affine systems in $L_ 2(\mathbb{R}^d)$: The analysis of the analysis operator
On dual wavelet tight frames
Affine systems in $L_2(\mathbb{R}^d)$. II: Dual systems
Compactly supported tight frames associated with refinable functions
On a class of weak nonhomogeneous affine bi-frames for reducing subspaces of $L^2(\mathbb R^d)$
Tight frame: an efficient way for high-resolution image reconstruction
Framelets: MRA-based constructions of wavelet frames
Pairs of dual wavelet frames from any two refinable functions
A characterization of affine dual frames in $L^2(\mathbb{R}^n)$
Extension principles for affine dual frames in reducing subspaces
Affine dual frames and extension principles
A framelet algorithm for enhancing video stills
The geometry and the analytic properties of isotropic multiresolution analysis
Weak (quasi-)affine bi-frames for reducing subspaces of $L^{2}(\mathbb{R}^{d})$
Sparse representation on graphs by tight wavelet frames and applications
Regularized Generalized Inverse Accelerating Linearized Alternating Minimization Algorithm for Frame-Based Poissonian Image Deblurring
GMRA-BASED CONSTRUCTION OF FRAMELETS IN REDUCING SUBSPACES OF L²(ℝ^d)
Adaptive Solution of Operator Equations Using Wavelet Frames
Frame wavelets in subspaces of $L^2(\mathbb R^d)$
FRAMES OF WAVELETS IN HARDY SPACE
On Parseval Wavelet Frames with Two or Three Generators via the Unitary Extension Principle

This page was built for publication: Nonhomogeneous wavelet dual frames and extension principles in reducing subspaces