Orthogonal wavelets on the cantor dyadic group

被引：85
作者：
Lang, WC
机构：
[1] Department of Mathematics, Indiana University Southeast, New Albany
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1996年 / 27卷 / 01期
关键词：
orthogonal wavelets; locally compact Abelian groups; Cantor dyadic group;
D O I：
10.1137/S0036141093248049
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based upon the shift operator as a dilation operator, multiresolution analyses are built on the Cantor dyadic group. A regularity condition is given for wavelets and sufficient conditions are given on scaling filters for regular orthonormal wavelets to occur. Examples of wavelets given include the Haar functions and certain lacunary Walsh function series analogous to the compactly supported wavelets of I. Daubechies.
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页码：305 / 312
页数：8
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