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   -> Volume 4, Issue 2


Preprint: Biorthogonal Smooth Local Trigonometric Bases
 
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Wim Sweldens (sweldens@math.sc.edu)
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PostPosted: Mon Dec 02, 2002 5:42 pm    
Subject: Preprint: Biorthogonal Smooth Local Trigonometric Bases
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Preprint: Biorthogonal Smooth Local Trigonometric Bases

Title: Biorthogonal Smooth Local Trigonometric Bases
Author: Bjorn Jawerth and Wim Sweldens

Abstract:

In this paper we discuss smooth local trigonometric bases.
We present two generalizations of the orthogonal basis of
Malvar and Coifman-Meyer: biorthogonal and equal parity bases.
These allow natural representations of constant and, sometimes,
linear components. We study and compare their approximation
properties and applicability in data compression. This is
illustrated with numerical examples.

Industrial Mathematics Initiative, University of South Carolina,
Research Report 1994:05, available through anonymous ftp at
ftp://ftp.math.sc.edu/pub/imi_94/imi94_5.ps or imi95_5.ps.gz.

Status: to appear in Journal of Fourier Analysis and Applications.
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