Matrices and quadrature rules for wavelets
type: Item
instance of: scholarly article
title: Matrices and quadrature rules for wavelets
zbMATH Open document ID: 0926.65146
author: Wei-Chang Shann
author: Chien-Chang Yen
published in: Taiwanese Journal of Mathematics
publication date: 1999-06-20T00:00:00Z
review text: The authors study matrices (in particular their spectral norm) arising in the (exact) computation of integrals \[ \int x^m\varphi(x- k)dx,\quad \int x^m\varphi(x) \varphi(x- k)dx\qquad (0\leq m\leq p-1), \] where \(\varphi\) denotes the Daubechies' scaling function which integer translates reproduce polynomials of degree \(\leq p-1\) on finite intervals.
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 1269913
zbMATH Keywords: scaling functions
zbMATH Keywords: wavelets
zbMATH Keywords: refinement masks
zbMATH Keywords: quadrature rule
zbMATH Keywords: spectral norm
reviewed by: Gabriele Steidl
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/twjm/1500407015
OpenAlex ID: W1522232504
DOI: 10.11650/TWJM/1500407015
description: scientific article; zbMATH DE number 1269913