Nonstationary tight wavelet frames. I: Bounded intervals
type: Item
instance of: scholarly article
title: Nonstationary tight wavelet frames. I: Bounded intervals
zbMATH Open document ID: 1067.42021
author: Wenjie He
author: Charles K. Chui
author: Joachim Stöckler
published in: Applied and Computational Harmonic Analysis
publication date: 2004-11-23T00:00:00Z
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 42C15
zbMATH DE Number: 2117885
zbMATH Keywords: nonstationary frame
zbMATH Keywords: tight frame
zbMATH Keywords: approximate dual
zbMATH Keywords: bounded interval frame
MaRDI profile type: Publication
full work available at URL: j.acha.2004.02.004
OpenAlex ID: W4205349801
cites work: Spline approximation by quasiinterpolants
cites work: Q4205895
cites work: Wavelets
cites work: Q4212838
cites work: Compactly supported tight frames associated with refinable functions
cites work: Compactly supported tight and sibling frames with maximum vanishing moments
cites work: Nonstationary tight wavelet frames. II: Unbounded intervals
cites work: Compactly supported tight affine frames with integer dilations and maximum vanishing moments
cites work: Q4426065
cites work: Q3374128
cites work: The B-spline basis in a space of algebraic polynomials
cites work: Spline bases in classical function spaces on compact $C^{∞}$ manifolds, Part I
cites work: Wavelets on the interval and fast wavelet transforms
cites work: Banded matrices with banded inverses. II: Locally finite decomposition of spline spaces
cites work: Orthonormal bases of compactly supported wavelets
cites work: Commutation for irregular subdivision
cites work: Framelets: MRA-based constructions of wavelet frames
cites work: Q4273944
cites work: Q5650405
cites work: Tight wavelet frames generated by three symmetric $B$-spline functions with high vanishing moments
cites work: An identity for multivariate Bernstein polynomials
cites work: Approximation with scaled shift-invariant spaces by means of quasi-projection operators
cites work: The dual basis functions for the Bernstein polynomials
cites work: Q2785470
cites work: Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
cites work: Affine systems in \(L_2(\mathbb{R}^d)\). II: Dual systems
cites work: Q4316947
cites work: On Polya frequency functions. IV: The fundamental spline functions and their limits
cites work: Q3895980
cites work: The \(L_\infty\)-norm of the \(L_2\)-spline projector is bounded independently of the knot sequence: A proof of de Boor's conjecture
cites work: Dual bases of a Bernstein polynomial basis on simplices
DOI: 10.1016/J.ACHA.2004.02.004
description: scientific article; zbMATH DE number 2117885