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
收藏
页码：282 / 286
页数：5
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