Sturm-Liouville wavelets
type: Item
instance of: scholarly article
title: Sturm-Liouville wavelets
zbMATH Open document ID: 0919.42025
author: Uwe Depczynski
published in: Applied and Computational Harmonic Analysis
publication date: 1999-08-15T00:00:00Z
review text: A construction of wavelet-like functions on a compact interval of \({\mathbb R}\) is described. The approach is based on a multiscale decomposition of weighted spaces \(L_{2,p}([a,b])\), and the scaling functions are constructed with the help of eigenfunctions of regular Sturm-Liouville boundary value problems. The properties of these eigenfunctions yield stable and local bases. Corresponding fast decomposition and reconstruction algorithms are derived using DST and DCT.
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 42A10
Mathematics Subject Classification ID: 65T50
Mathematics Subject Classification ID: 34B24
zbMATH DE Number: 1207279
zbMATH Keywords: wavelets
zbMATH Keywords: weighted \(L_2\)-space
zbMATH Keywords: Sturm Liouville boundary value problems
zbMATH Keywords: eigenfunctions
reviewed by: Gerlind Plonka
MaRDI profile type: Publication
full work available at URL: acha.1997.0231
OpenAlex ID: W1972995094
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DOI: 10.1006/ACHA.1997.0231
description: scientific article; zbMATH DE number 1207279