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.

引用

页码：245 / 256

页数：12

共 35 条

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