CHANGE OF SCALE FORMULAS FOR FUNCTION SPACE INTEGRALS RELATED WITH FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION ON C-a,C- (b)[0, T]

被引：0

作者：

Kim, Bong Jin ^{[1
]}

Kim, Byoung Soo ^{[2
]}

Yoo, Il ^{[3
]}

机构：

[1] Daejin Univ, Dept Math, Pochon 487711, South Korea

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

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

来源：

KOREAN JOURNAL OF MATHEMATICS | 2015年 / 23卷 / 01期

关键词：

change of scale formula; function space integral; generalized analytic Feynman integral; generalized Fourier-Feynman transform; convolution;

D O I：

10.11568/kjm.2015.23.1.47

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We express generalized Fourier-Feynman transform and convolution product of functionals in a Banach algebra S(L-a,b(2) [0; T]) as limits of function space integrals on C-a,C- (b)[0, T]. Moreover we obtain change of scale formulas for function space integrals related with generalized Fourier-Feynman transform and convolution product of these functionals.

引用

页码：47 / 64

页数：18

共 21 条

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[2]

[Anonymous], 1987, REND CIRC MAT PA S17

[3]

Cameron R.H., 1980, ANALYTIC FUNCTIONS K, V798, P18

[4]

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