Analytic Feynman Integral and a Change of Scale Formula for Wiener Integrals of an Unbounded Cylinder Function

被引：0

作者：

Young Sik, Kim ^{[1
]}

机构：

[1] Hanyang Univ, Coll Nat Sci, Dept Math, Ind Univ Cooperat Fdn, 222 Wangsimni Ro, Seoul 04763, South Korea

来源：

COMPLEXITY | 2020年 / 2020卷

基金：

新加坡国家研究基金会;

关键词：

TRANSFORMS;

D O I：

10.1155/2020/2671474

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the behavior of the unbounded cylinder function F(x) = (integral(T)(0) alpha(1)(t)dx(t))(2k) . (integral(T)(0) alpha(2)(t)dx(t))(2k) ... (integral(T)(0) alpha(n) (t)dx(t))(2k), k = 1, 2, ... whose analytic Wiener integral and analytic Feynman integral exist, we prove some relationships among the analytic Wiener integral, the analytic Feynman integral, and the Wiener integral, and we prove a change of scale formula for the Wiener integral about the unbounded function on the Wiener space C-0[0, T].

引用

页数：7

共 20 条

[1]

[Anonymous], 1987, REND CIRC MAT PA S17

[2]

Brue M D., 1972, FUNCTIONAL TRANSFORM

[3]

Cameron R. H., 1987, RENDICONTI CIRCO 2 S, V17, P117

[4] Transformations of Wiener integrals under translations [J].