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   -> Volume 4, Issue 3


Preprint: Unbalanced Haar wavelets for Lp on general measure spaces
 
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Maria Girardi (girardi@math.sc.edu)
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PostPosted: Mon Dec 02, 2002 5:45 pm    
Subject: Preprint: Unbalanced Haar wavelets for Lp on general measure spaces
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Preprint: Unbalanced Haar wavelets for Lp on general measure spaces

Title: A new class of unbalanced Haar wavelets that form an unconditional
basis for Lp on general measure spaces
Author: Maria Girardi and Wim Sweldens

Abstract:
Given a complete separable $sigma$-finite measure space $(X,Sigma,mu)$
and nested partitions of $X$, we construct unbalanced Haar-like wavelets
on $X$ that form an unconditional basis for $Lp(X,Sigma,mu)$ where
$1 and Mitrea. We show that if $(X,Sigma,mu)$ is not purely atomic, then
the unconditional basis constant of our basis is $(max(p,q) - 1)$. We
derive a fast algorithm to compute the coefficients.

Industrial Mathematics Initiative, University of South Carolina,
Research Report 1995:02, available through anonymous ftp at
ftp://ftp.math.sc.edu/pub/imi_95/imi95_2.ps" or imi95_2.ps.gz.
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