A characterization of distributions of exponential growth with support in a regular closed set

被引：3
|
作者：
Suwa, Masanori [1 ]
机构：
[1] Shibaura Inst Technol, Sch Arts & Sci, Fac Engn, Minuma Ku, Saitama 3378570, Japan
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2014年 / 59卷 / 10期
关键词：
distributions; heat kernel; Mehler kernel; TEMPERED ULTRAHYPERFUNCTIONS; FOURIER HYPERFUNCTIONS; CALCULUS APPROACH; EQUATIONS;
D O I：
10.1080/17476933.2013.854345
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paperwe shall give the representation theorem for the space of distributions of exponential growth supported by a regular closed set, and characterize this space by the heat kernel method. Furthermore we shall see that we can also characterize this space by using the Mehler kernel.
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页码：1418 / 1435
页数：18
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