The wave front set of oscillatory integrals with inhomogeneous phase function

被引：2

作者：

Zahn, Jochen ^{[1
]}

机构：

[1] Univ Gottingen, Courant Res Ctr Higher Order Struct, D-37073 Gottingen, Germany

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2011年 / 2卷 / 01期

关键词：

Oscillatory integral; Inhomogeneous phase function; Wave front set;

D O I：

10.1007/s11868-011-0024-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A generalized notion of oscillatory integrals that allows for inhomogeneous phase functions of arbitrary positive order is introduced. The wave front set of the resulting distributions is characterized in a way that generalizes the well-known result for phase functions that are homogeneous of order one.

引用

页码：101 / 113

页数：13

共 11 条

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