Multivariate symmetric interpolating scaling vectors with duals
type: Item
instance of: scholarly article
title: Multivariate symmetric interpolating scaling vectors with duals
zbMATH Open document ID: 1177.42030
author: Karsten Koch
published in: The Journal of Fourier Analysis and Applications
publication date: 2009-06-08T00:00:00Z
review text: Since the interpolation property has simplified the representations, many works contributed to interpolating and symmetric scaling vectors. This paper introduces an algorithm for the construction of compactly supported interpolating scaling vectors. Duals and multiwavelets are also given; in addition, two examples are exhibited to explain the theory. Note that the symmetry in multivariate cases is much more complicated than that of the univariate. Then the author obtains the symmetric property of scaling vectors by using the symmetry groups.
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 94A08
Mathematics Subject Classification ID: 42C15
zbMATH DE Number: 5562681
zbMATH Keywords: interpolating scalaing vectors
zbMATH Keywords: multiwavelets dilation matrix
zbMATH Keywords: scating vectors
zbMATH Keywords: biorthogonal basis
reviewed by: Youming Liu
MaRDI profile type: Publication
full work available at URL: s00041-008-9053-x
OpenAlex ID: W1972775984
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DOI: 10.1007/S00041-008-9053-X
description: scientific article; zbMATH DE number 5562681