A construction of biorthogonal functions to B-splines with multiple knots
type: Item
instance of: scholarly article
title: A construction of biorthogonal functions to B-splines with multiple knots
zbMATH Open document ID: 0939.42018
published in: Applied and Computational Harmonic Analysis
publication date: 2000-07-11T00:00:00Z
review text: The author constructs a refinable compactly supported function vector which is biorthogonal to the vector of B-splines of given degree with multiple integer knots. This construction is based on Hermite-type interpolatory subdivision schemes, and the relation between B-splines and divided differences. First, the author proves the biorthogonality property and then the refinability property. The special (scalar) case of B-splines with simple knots is treated separately.
reviewed by: Manfred Tasche
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 1415637
zbMATH Keywords: B-splines with multiple knots
zbMATH Keywords: biorthogonal function vector
zbMATH Keywords: refinable function vector
zbMATH Keywords: Hermite-type interpolatory subdivision schemes
author: Nira Dyn
MaRDI profile type: Publication
cites work: Stationary subdivision
cites work: Q4003151
cites work: Biorthogonal bases of compactly supported wavelets
cites work: Q5451945
cites work: Ten Lectures on Wavelets
cites work: Smooth multiwavelet duals of Alpert bases by moment-interpolating refinement
cites work: Q4026009
cites work: Q3488625
cites work: Analysis of Hermite-interpolatory subdivision schemes
cites work: Q3839102
description: scientific article; zbMATH DE number 1415637