On the neutral Hermite product of the distributions x±n and δ(m)(x)

被引：1
|
作者：
Shen, Chun [1 ]
Sun, Meina [1 ]
机构：
[1] Ludong Univ, Sch Math & Informat, Yantai, Peoples R China
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2008年 / 19卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Hermite function; Hermite expansions; product of distributions;
D O I：
10.1080/10652460701880094
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the neutral Hermite product and study products of tempered distributions based on the Hermite expansions. In particular, we consider products of distributions x(n) and d(m)(x) by using the neutral Hermite product and the results are identical with the classical theory of Schwartz distributions. Finally, the recurrence relations about the Hermite expansion coefficients of x(+/-n) delta((m))(x) are obtained for the numerical computation.
引用
收藏
页码：387 / 398
页数：12
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