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   -> Volume 5, Issue 1


Preprint: On A Family of Filters Arising in Wavelet construction
 
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Zhao Yunhe (yunhe@plains.nodak.edu)
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PostPosted: Tue Dec 03, 2002 4:15 pm    
Subject: Preprint: On A Family of Filters Arising in Wavelet construction
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Preprint: On A Family of Filters Arising in Wavelet construction

Author: Charles A. Micchelli

Wavelet construction almost always reduces to the study of certain
algebraic identities for polynomials. Typically, one polynomial is
chosen and another is found which satisfies an identity appropriate
for the desired wavelet construction.

In this paper we explore one such equation and give applications of it
to wavelet construction. The specific equation we study here comes to
us from our recent work on iterative interpolation by exponentials.
Through this equation we strive to unify several related questions
concerning wavelet construction and provide in each case considered
estimates for the decay of the Fourier transform of both the refinable
functions and corresponding wavelets.


To get a copy of postscript file of this paper, FTP the following site

hammilton.math.ndsu.nodak.edu

with ftp as login name and your e-mail address as password. The
filename of this paper is m1.ps.
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