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   -> Volume 4, Issue 8


Preprint: Periodic orthonormal quasi-wavelets
 
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chen@math03.math.ac.cn (Chen Han Lin)
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PostPosted: Tue Dec 03, 2002 1:30 pm    
Subject: Preprint: Periodic orthonormal quasi-wavelets
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Preprint: Periodic orthonormal quasi-wavelets

Abstract

In this paper we present a new method in constructing the periodic
orthonormal quasi-wavelet in $o L_2(I)$ with any desired regularity
which differs from Meyer's and Danbechies' periodic wavelet [Me], [Dau].
The interesting thing is that the decomposition and reconstruction
formulas are very simple, each of them involves only two terms. As for
the error estimate, the convergence order is the best in comparism with
the results obtained by other authors. In the second part of this paper,
we give am application of periodic quasi-wavelet to solve a kind of
integral equations. By using the projection method, we obtain a system
of equations, it is important to point out that the coefficients matrix
is diagonal and therefore, is easy to solve.
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