Generalization of two-dimensional radial wavelets

被引：0
|
作者：
Logvinova, T. O. [1 ]
机构：
[1] Ural Fed Univ, Inst Math & Comp Sci, Ekaterinburg, Russia
来源：
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2013年 / 19卷 / 02期
关键词：
two-dimensional wavelets; continuous wavelets; integral wavelet transform; inverse wavelet transform;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper is devoted to the generalization of two-dimensional radial wavelets. Direct and inverse integral wavelet transforms are constructed by means of elliptically symmetric wavelets. Theorems on the relation between functions and their integral wavelet transforms, on the convergence of the integral wavelet transform in L-2(R-2), and on the pointwise convergence of the inverse integral wavelet transform are proved.
引用
收藏
页码：224 / 230
页数：7
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