Sequential Fourier-Feynman transform, convolution and first variation

被引：0
|
作者：
Chang, K. S. [1 ]
Cho, D. H. [2 ]
Kim, B. S. [3 ]
Song, T. S. [4 ]
Yoo, I. [5 ]
机构：
[1] Yonsei Univ, Dept Math, Seoul 120749, South Korea
[2] Kyonggi Univ, Dept Math, Suwon 443760, South Korea
[3] Seoul Natl Univ Technol, Sch Liberal Arts, Seoul 139743, South Korea
[4] Mokwon Univ, Dept Comp Engn, Taejon 302729, South Korea
[5] Yonsei Univ, Dept Math, Wonju 220710, South Korea
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 360卷 / 04期
关键词：
sequential Feynman integral; sequential Fourier-Feynman transform; convolution; translation theorem; parseval's relation;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Cameron and Storvick introduced the concept of a sequential Fourier- Feynman transform and established the existence of this transform for functionals in a Banach algebra (S) over cap of bounded functionals on classical Wiener space. In this paper we investigate various relationships between the sequential Fourier-Feynman transform and the convolution product for functionals which need not be bounded or continuous. Also we study the relationships involving this transform and the first variation.
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页码：1819 / 1838
页数：20
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