WAVELET CHARACTERIZATIONS OF MULTI-DIRECTIONAL REGULARITY

被引：4
|
作者：
Ben Slimane, Mourad [1 ]
机构：
[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2012年 / 20卷 / 3-4期
关键词：
Multi-Directional Regularity; Anisotropic Holder Regularity; Anisotropic Wavelets; Anisotropic Wavelet Transform; SINGULARITY;
D O I：
10.1142/S0218348X12500223
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The study of d dimensional traces of functions of m several variables leads to directional behaviors. The purpose of this paper is two-fold. Firstly, we extend the notion of one direction pointwise Holder regularity introduced by Jaffard to multi-directions. Secondly, we characterize multi-directional pointwise regularity by Triebel anisotropic wavelet coefficients (resp. leaders), and also by Calderon anisotropic continuous wavelet transform.
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页码：245 / 256
页数：12
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