Construction and reconstruction of tight framelets and wavelets via matrix mask functions
type: Item
instance of: scholarly article
title: Construction and reconstruction of tight framelets and wavelets via matrix mask functions
zbMATH Open document ID: 1155.42008
author: Marcin Bownik
author: Ziemowit Rzeszotnik
published in: Journal of Functional Analysis
publication date: 2009-02-25T00:00:00Z
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 5518743
zbMATH Keywords: wavelet
zbMATH Keywords: generalized multiresolution analysis
zbMATH Keywords: matrix mask function
MaRDI profile type: Publication
full work available at URL: j.jfa.2008.12.006
OpenAlex ID: W2161937718
cites work: Solution of two problems on wavelets
cites work: An abstract interpretation of the wavelet dimension function using group representations
cites work: The construction of wavelets from generalized conjugate mirror filters in \(L^2(\mathbb R^n)\)
cites work: Construction of Parseval wavelets from redundant filter systems
cites work: A non-MRA \(c^r\) frame wavelet with rapid decay
cites work: Generalized multi-resolution analyses and a construction procedure for all wavelet sets in \(\mathbb{R}^n\)
cites work: Q4945736
cites work: The theory of multiresolution analysis frames and applications to filter banks
cites work: Q4424417
cites work: The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
cites work: A characterization of affine dual frames in \(L^2(\mathbb{R}^n)\)
cites work: Anisotropic Hardy spaces and wavelets
cites work: Baggett’s Problem for Frame Wavelets
cites work: Intersection of dilates of shift-invariant spaces
cites work: The spectral function of shift-invariant spaces
cites work: On the existence of multiresolution analysis for framelets
cites work: A characterization of dimension functions of wavelets
cites work: Q4945739
cites work: Wandering vectors for unitary systems and orthogonal wavelets
cites work: Ten Lectures on Wavelets
cites work: Framelets: MRA-based constructions of wavelet frames
cites work: The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
cites work: Approximation orders of FSI spaces in \(L_2(\mathbb{R}^d)\)
cites work: A characterization of functions that generate wavelet and related expansion
cites work: Q4896587
cites work: Tight frames of compactly supported affine wavelets
cites work: Generalized low pass filters and MRA frame wavelets
cites work: Tight frame wavelets, their dimension functions, MRA tight frame wavelets and connectivity properties
cites work: Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
cites work: The wavelet dimension function is the trace function of a shift-invariant system
cites work: Calderón's condition and wavelets
cites work: On wavelets interpolated from a pair of wavelet sets
cites work: Q3931654
cites work: Basic properties of wavelets
DOI: 10.1016/J.JFA.2008.12.006
description: scientific article; zbMATH DE number 5518743