Relationships between Fourier-Feynman transforms and Wiener integrals on abstract Wiener spaces II

被引：16
|
作者：
Kim, YS [1 ]
机构：
[1] Univ Seoul, Div Liberal Arts Math, Seoul 130743, South Korea
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2005年 / 16卷 / 01期
关键词：
Wiener measure; Wiener integral; Fourier-Feynman transform;
D O I：
10.1080/10652460290029761
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish some relationships between Fourier-Feynman transforms and Wiener integrals for certain bounded cylinder functions of the form; F (x ) = (&mu;) over cap ((h(1) , x ) similar to , ..., (h(n) , x ) similar to ), x is an element of B , where (&mu;) over cap: R-n --> C is the Fourier-transform of the complex-valued Borel Measure mu on (R-n), the Borel sigma-algebra of R-n with parallel tomuparallel to < infinity, on the abstract Wiener Space.
引用
收藏
页码：57 / 64
页数：8
相关论文
共 50 条
12345