Unique continuation of microlocally analytic functions and their structure

被引：0

作者：

Takiguchi, Takashi ^{[1
]}

机构：

[1] Natl Def Acad Japan, Dept Math, Yokosuka, Kanagawa 2398686, Japan

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2014年 / 59卷 / 11期

关键词：

unique continuation; structure theorem; ultradistributions; hyperfunctions; microlocal analyticity; HYPERFUNCTIONS; ULTRADISTRIBUTIONS; REPRESENTATION;

D O I：

10.1080/17476933.2012.744402

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a unique continuation property of microlocally analytic functions. This property depends on the regularity of the functions. In this article, we mainly discuss the unique continuation property of the microlocally analytic quasi-analytic ultradistributions and hyperfunctions, whose relation with their structure is also discussed.

引用

页码：1507 / 1519

页数：13

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