Multivariate periodic wavelet analysis
type: Item
instance of: scholarly article
title: Multivariate periodic wavelet analysis
zbMATH Open document ID: 1185.42033
author: Jürgen Prestin
author: Dirk Langemann
published in: Applied and Computational Harmonic Analysis
publication date: 2009-12-15T00:00:00Z
review text: Multivariate periodic wavelets are important in wavelet analysis. This paper extends one dimensional shift invariant space to the multivariate on non-tensor product patterns. Firstly, the authors discuss the basic pattern properties. Then, they present some elementary theorems about multivariate spaces. After giving decompositions of the shift invariant spaces, the authors finally show wavelet decompositions of the orthonormalized Dirichlet kernels.
Mathematics Subject Classification ID: 42C15
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 5648444
zbMATH Keywords: shift invariant space
zbMATH Keywords: periodic wavelets
zbMATH Keywords: multivariate pattern
reviewed by: Youming Liu
MaRDI profile type: Publication
full work available at URL: j.acha.2009.07.001
OpenAlex ID: W2045262416
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DOI: 10.1016/J.ACHA.2009.07.001
description: scientific article; zbMATH DE number 5648444