Orthogonality criteria for compactly supported refinable functions and refinable function vectors
type: Item
instance of: scholarly article
title: Orthogonality criteria for compactly supported refinable functions and refinable function vectors
zbMATH Open document ID: 0952.42017
DOI: 10.1007/BF02510658
author: Yang Wang
author: Jeffrey C. Lagarias
published in: The Journal of Fourier Analysis and Applications
publication date: 2000-10-26T00:00:00Z
full work available at URL: https://eudml.org/doc/59637
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 1445619
zbMATH Keywords: orthogonality criteria
zbMATH Keywords: orthogonal refinable functions
zbMATH Keywords: orthonormal wavelet and multiwavelet bases
zbMATH Keywords: refinable function vectors
MaRDI profile type: Publication
cites work: Q3241280
cites work: Ensembles invariants pour un op�rateur de transfert dans ? d
cites work: Ondelettes, analyses multirésolutions et filtres miroirs en quadrature. (Wavelets, multiscale analysis and quadrature mirror filters)
cites work: Biorthogonal bases of compactly supported wavelets
cites work: Regularity of refinable function vectors
cites work: An Arithmetic Characterization of the Conjugate Quadrature Filters Associated to Orthonormal Wavelet Bases
cites work: Pavages auto-affines, op�rateurs de transfert et crit�res de r�seau dans ? d
cites work: Fonctions harmoniques pour un opérateur de transition et applications
cites work: Orthonormal bases of compactly supported wavelets
cites work: Ten Lectures on Wavelets
cites work: Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions
cites work: Construction of Orthogonal Wavelets Using Fractal Interpolation Functions
cites work: Haar-type multiwavelet bases and self-affine multi-tiles
cites work: Wavelets of Multiplicity r
cites work: Wavelets in Wandering Subspaces
cites work: Orthogonality criteria for compactly supported scaling functions
cites work: Self-similar lattice tilings
cites work: Multi-resolution analysis of multiplicity \(d\): Applications to dyadic interpolation
cites work: Matrix refinement equations: existence and uniqueness
cites work: A Note on Matrix Refinement Equations
cites work: Multiresolution and wavelets
cites work: Haar type orthonormal wavelet bases in \(R^2\)
cites work: Self-affine tiles in \(\mathbb{R}^n\)
cites work: Integral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilings
cites work: Necessary and sufficient conditions for constructing orthonormal wavelet bases
cites work: Stability and Orthonormality of Multivariate Refinable Functions
cites work: Orthogonality criteria for multi-scaling functions
cites work: Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
cites work: \(L^2(\mathbb{R})\) solutions of dilation equations and Fourier-like transforms
cites work: Q5668937
cites work: Q4379955
cites work: Refinable Function Vectors
cites work: Q4945748
cites work: Q4270481
OpenAlex ID: W2151929863
Recommended article: A criterion for orthogonality of refinable functions.
Recommended article: On stability and orthogonality of refinable functions
Recommended article: Orthogonality criteria for compactly supported scaling functions
Recommended article: Q4240360
Recommended article: Orthogonal compactly supported functions in eigenvalue problems
Recommended article: On stable refinable function vectors with arbitrary support
Recommended article: Q4542954
Recommended article: Q4659984
Recommended article: Orthogonality of compact operators
Recommended article: Regularity of refinable function vectors
description: scientific article; zbMATH DE number 1445619