A GENERALIZED INTEGRAL TRANSFORM WITH THE KERNEL ON FUNCTION SPACE WITH RELATED TOPICS

被引：0

作者：

Chung, Hyun soo ^{[1
]}

机构：

[1] Dankook Univ, Dept Math, Cheonan 31116, South Korea

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2024年 / 61卷 / 05期

关键词：

Integral transform; Wiener space; Fubini theorem; composition formula; Cameron-Storvick type theorem; CONVOLUTION;

D O I：

10.4134/BKMS.b230499

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we define a generalized integral transform T alpha alpha on function space. We then establish some fundamental formulas for the integral transform T alpha alpha involving the convolution product and the first variation. Furthermore, we establish some relationships among the integral transform, the convolution product and the first variation. Finally, we state an application with some examples.

引用

页码：1253 / 1267

页数：15

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