Representation of the singularities of a function

被引：4

作者：

Aubry, JL ^{[1
]}

机构：

[1] Univ Calif Davis, Dept Math, Livermore, CA 95616 USA

来源：

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 1999年 / 6卷 / 02期

关键词：

D O I：

10.1006/acha.1998.0251

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that a function f having a little uniform smoothness can be locally represented at any point x(0) as f(x) = \x-x(0)\(h)g(x-x(0)/\x-x(0)\(1+beta)) + r(x), where g is an indefinitely oscillating function; the value of beta of the regularity of r are related by the 2-microlocal regularity of f. (C) 1999 Academic Press.

引用

页码：282 / 286

页数：5

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