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   -> Volume 2, Issue 11


Preprint: Scaling functions and wavelets with vanishing moments
 
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P.L. Butzer, RWTH Aachen
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PostPosted: Fri Nov 29, 2002 3:33 pm    
Subject: Preprint: Scaling functions and wavelets with vanishing moments
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Preprint: Scaling functions and wavelets with vanishing moments

The following preprint is available:
Scaling functions and wavelets with vanishing moments
P.L. Butzer, A. Fischer and K. Rueckforth

In a variety of problems involving multiresolution analysis techniques
authors use at least one of the following assumptions: The vanishing of
moments of a wavelet up to a certain order r, a Strang-Fix condition of
order r upon a scaling function or a zero of order r of the corresponding
symbol at the point pi. In this paper the authors establish the equivalence
of these three conditions under minimal assumptions upon the multiresolution
analysis.
Lehrstuhl A fuer Mathematik, RWTH Aachen, D-52056 Aachen,
Germany, Report No. 419.
To appear in: Computers and Mathematics with Applications
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