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.

引用

页码：1819 / 1838

页数：20

共 17 条

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[2]

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[3]

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[4]

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[5]

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[10] Convolution and analytic Fourier-Feynman transforms over paths in abstract Wiener space [J].

Chang, KS ;

Kim, BS ;

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INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2002, 13 (04) :345-362

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