An integral transform via the bounded linear operators on abstract Wiener space

被引：3
|
作者：
Chung, Hyun Soo [1 ]
机构：
[1] Dankook Univ, Dept Math, Cheonan 31116, South Korea
来源：
FILOMAT | 2023年 / 37卷 / 17期
关键词：
Bounded linear operator; Integral transform; Convolution product; First variation; Cameron-Storvick type theorem; CONVOLUTION;
D O I：
10.2298/FIL2317541C
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we obtain some results of a more rigorous mathematical structure that can guarantee the orthogonality of an orthogonal set even when results and formula on abstract Wiener integrals or some transforms using bounded linear operators. We then establish the existence of an integral transform on abstract Wiener space. Finally, we obtain some fundamental formulas with respect to the integral transform involving the Cameron-Storvick type theorem.
引用
收藏
页码：5541 / 5552
页数：12
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