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.

引用

页码：1418 / 1435

页数：18

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