A new technique to estimate the regularity of refinable functions
Revista Matemática IberoamericanaPublished 31 August 1996Open access
A. Clifford Cohen, Ingrid Daubechies
Citations103
SJR quartileQ1
SJR score1.41
SNIP1.40
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Abstract
We study the regularity of refinable functions by analyzing the spectral properties of special operators associated to the refinement equation; in particular, we use the Fredholm determinant theory to derive numerical estimates for the spectral radius of these operators in certain spaces. This new technique is particularly useful for estimating the regularity in the cases where the refinement equation has an infinite number of nonzero coefficients and in the multidimensional cases.
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