Spline prewavelets for non-uniform knots
type: Item
instance of: scholarly article
title: Spline prewavelets for non-uniform knots
zbMATH Open document ID: 0735.41009
DOI: 10.1007/BF01385520
author: Martin D. Buhmann
author: Charles A. Micchelli
published in: Numerische Mathematik
publication date: 1992-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133632
review text: We develop a framework suitable for performing a multiresolution analysis using univariate spline spaces of arbitrary degree and with non-uniform knot-sequences. To this end, we show, among other things, the existence of compactly supported prewavelets and of prewavelets that are globally supported, but decay exponentially. In each case we obtain a decomposition of a fine spline space as a sum of a coarse spline space plus a spline space spanned by prewavelets.
reviewed by: Martin D. Buhmann
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 42C15
zbMATH DE Number: 4215934
zbMATH Keywords: univariate spline spaces
zbMATH Keywords: prewavelets
MaRDI profile type: Publication
cites work: A Cardinal Spline Approach to Wavelets
cites work: On Compactly Supported Spline Wavelets and a Duality Principle
cites work: Orthonormal bases of compactly supported wavelets
cites work: Inverses of Band Matrices and Local Convergence of Spline Projections
cites work: Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
cites work: Best \(L^1\) approximation by weak Chebyshev systems and the uniqueness of interpolating perfect splines
cites work: Using the refinement equation for the construction of pre-wavelets
cites work: Q3900444
cites work: Q3895980
description: scientific article; zbMATH DE number 4215934