Large-scale renormalisation of Fourier transforms of self-similar measures and self-similarity of Riesz measures

被引：3

作者：

Holschneider, M

机构：

[1] Centre de Physique Théorique, U. Propre de Recherche 7061, CNRS, F-13288 Marseille Cedex 9, Luminy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1996年 / 200卷 / 02期

关键词：

D O I：

10.1006/jmaa.1996.0206

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We shall show that the oscillations observed by R. S. Strichartz in the Fourier transforms of self-similar measures have a large-scale renormalisation given by a Riesz measure. Vice versa the Riesz measure itself will be shown to be self-similar around every triadic point. (C) 1996 Academic Press, Inc.

引用

页码：307 / 314

页数：8