Singularity spectrum of multifractal functions involving oscillating singularities

被引：54

作者：

Arneodo, A

Bacry, E

Jaffard, S

Muzy, JF

机构：

[1] Ctr Rech Paul Pascal, F-33600 Pessac, France

[2] Ecole Polytech, Ctr Math Appl, F-91128 Palaiseau, France

[3] Univ Paris 12, Dept Math, F-94010 Creteil, France

[4] ENS Cachan, CMLA, F-94235 Cachan, France

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 1998年 / 4卷 / 02期

关键词：

fractals; Hausdorff dimension; Holder regularity; wavelets;

D O I：

10.1007/BF02475987

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give general mathematical results concerning oscillating singularities and we study examples of functions composed only of oscillating singularities. These functions are defined by explicit coefficients on an orthonormal wavelet basis. We compute their Holder regularity and oscillation at every point and we deduce their spectrum of oscillating singularities.

引用

页码：159 / 174

页数：16

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