FOURIER-FEYNMAN TRANSFORMS, CONVOLUTIONS AND FIRST VARIATIONS ON THE SPACE OF ABSTRACT WIENER SPACE VALUED CONTINUOUS FUNCTIONS

被引：1

作者：

Chang, K. S. ^{[1
]}

Kim, B. S. ^{[2
]}

Song, T. S. ^{[3
]}

Yoo, I. ^{[4
]}

机构：

[1] Yonsei Univ, Dept Math, Seoul 120749, South Korea

[2] Seoul Natl Univ Technol, Sch Liberal Arts, Seoul 139743, South Korea

[3] Mokwon Univ, Dept Comp Engn, Taejon 302729, South Korea

[4] Yonsei Univ, Dept Math, Wonju 220710, South Korea

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2010年 / 40卷 / 03期

关键词：

Wiener space; Feynman integral; Fourier-Feynman transform; convolution; first variation; Banach algebra S ''(B); INTEGRALS;

D O I：

10.1216/RMJ-2010-40-3-789

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish various relationships among the Fourier-Feynman transform, convolution and first variation of functionals in some Banach algebra, defined on the space of abstract Wiener space valued continuous functions, which corresponds to the Banach algebra defined on classical Wiener space introduced by Cameron and Storvick.

引用

页码：789 / 812

页数：24

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[3]

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[4]

CAMERON RH, 1976, MICH MATH J, V23, P1