A new technique to estimate the regularity of refinable functions

被引：10
|
作者：
Cohen, A [1 ]
Daubechies, I [1 ]
机构：
[1] AT&T BELL LABS, MURRAY HILL, NJ 07974 USA
来源：
REVISTA MATEMATICA IBEROAMERICANA | 1996年 / 12卷 / 02期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：527 / 591
页数：65
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