A new approach method to obtain the L1 generalized analytic Fourier-Feynman transform

被引：1
|
作者：
Chang, Seung Jun [1 ]
Chung, Hyun Soo [1 ]
Lee, Il Yong [1 ]
机构：
[1] Dankook Univ, Dept Math, Cheonan 330714, South Korea
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2018年 / 29卷 / 09期
基金：
新加坡国家研究基金会;
关键词：
Generalized analytic Fourier-Feynman transform; circle times-product; generalized convolution product; first variation; SCALE-INVARIANT MEASURABILITY; FUNCTION-SPACE; GAUSSIAN PROCESS; RESPECT;
D O I：
10.1080/10652469.2018.1497024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first introduce the concept of the circle times-product on function space. We then proceed to use this concept to obtain several integration formulas. In addition, we establish various relationships which exist. Also, we establish the relationships among the circle times-product, the generalized convolution product and the first variation.
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页码：745 / 760
页数：16
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