Generalized integral transforms and convolution products on function space

被引：21

作者：

Chung, Hyun Soo ^{[1
,2
]}

Tuan, Vu Kim ^{[2
]}

机构：

[1] Dankook Univ, Dept Math, Cheonan 330714, South Korea

[2] W Georgia Coll, Dept Math, Carrollton, GA 30117 USA

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2011年 / 22卷 / 08期

关键词：

generalized integral transform; generalized convolution product; inverse integral transform; Gaussian process; FEYNMAN-INTEGRALS; WIENER SPACE;

D O I：

10.1080/10652469.2010.535798

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use a Gaussian process to define a generalized integral transform (GIT) and a generalized convolution product (GCP) of functionals defined on a function space. We establish the existence and some properties for the GIT, the GCP and the inverse integral transform. Finally, we prove a Fubini theorem for the GIT and the GCP.

引用

页码：573 / 586

页数：14

共 14 条

[1]

CAMERON RH, 1945, DUKE MATH J, V12, P489, DOI 10.1215/S0012-7094-45-01244-0

[2] FOURIER-WIENER TRANSFORMS OF FUNCTIONALS BELONGING TO L-2 OVER THE SPACE-C [J].