THE STABILITY OF THE SINE AND COSINE FUNCTIONAL EQUATIONS IN SCHWARTZ DISTRIBUTIONS

被引：6

作者：

Chang, Jeongwook ^{[1
]}

Chung, Jaeyoung ^{[1
]}

机构：

[1] Kunsan Natl Univ, Dept Math, Kunsan 573701, South Korea

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2009年 / 46卷 / 01期

关键词：

Hyers-Ulam stability; trigonometric functional equation; distributions; Fourier hyperfunctions; Gelfand generalized functions; heat kernel;

D O I：

10.4134/BKMS.2009.46.1.087

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the Hyers-Ulam stability of the sine and cosine functional equations in the spaces of generalized functions such as Schwartz distributions, Fourier hyperfunctions, and Gelfand generalized functions.

引用

页码：87 / 97

页数：11

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