Generalized Fourier-Feynman transforms and generalized convolution products on Wiener space II

被引：1
|
作者：
Shim, Sang Kil [1 ]
Choi, Jae Gil [2 ]
机构：
[1] Dankook Univ, Dept Math, Cheonan 330714, South Korea
[2] Dankook Univ, Sch Gen Educ, Cheonan 330714, South Korea
来源：
ANNALS OF FUNCTIONAL ANALYSIS | 2020年 / 11卷 / 02期
关键词：
Wiener space; Gaussian process; Generalized Fourier-Feynman transform; Generalized convolution product;
D O I：
10.1007/s43034-019-00030-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this article is to present the second type fundamental relationship between the generalized Fourier-Feynman transform and the generalized convolution product on Wiener space. The relationships in this article are also natural extensions (to the case on an infinite dimensional Banach space) of the structure which exists between the Fourier transform and the convolution of functions on Euclidean spaces.
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页码：439 / 457
页数：19
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