Some sufficient conditions for the convergence of the cascade algorithm and for the continuity of the scaling function

Some sufficient conditions for the convergence of the cascade algorithm and for the continuity of the scaling function

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We define a class of matrices which includes, under some natural assumptions, the matrices \(\mathbf{m}\left( 0\right)\), \(\mathbf{m}\left( 1\right)\) and \(T_{2N-1}\), which are the key matrices of the wavelets theory. The matrices of this class have the property that the eigenvalues of a product...

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Bibliographic Details
Main Author: Daniela Roşca
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2003-02-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
dilation equation
scaling function
cascade algorithm
wavelets
Online Access:https://ictp.acad.ro/jnaat/journal/article/view/740

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