Fourier-Feynman transforms of unbounded functionals on abstract Wiener space |
| |
| Authors: | Byoung Soo Kim Il Yoo Dong Hyun Cho |
| |
| Institution: | (1) Department of Mathematics Education, Kon-Kuk University, Seoul, 143-701, Korea;(2) Department of Mathematics, Yonsei University, Seoul, 120-749, Korea;(3) Department of Mathematics, Yonsei University, Kangwondo, 220-710, Korea |
| |
| Abstract: | Huffman, Park and Skoug established several results involving Fourier-Feynman transform and convolution for functionals in
a Banach algebra S on the classical Wiener space. Chang, Kim and Yoo extended these results to abstract Wiener space for a more generalized
Fresnel class $
\mathcal{F}_{\mathcal{A}_1 ,\mathcal{A}_2 }
$
\mathcal{F}_{\mathcal{A}_1 ,\mathcal{A}_2 }
A1,A2 than the Fresnel class $
\mathcal{F}
$
\mathcal{F}
(B)which corresponds to the Banach algebra S. In this paper we study Fourier-Feynman transform, convolution and first variation of unbounded functionals on abstract Wiener
space having the form
|
$
F\left( x \right) = G\left( x \right)\psi \left( {\left( {\vec e,x} \right)^ \sim } \right)
$
F\left( x \right) = G\left( x \right)\psi \left( {\left( {\vec e,x} \right)^ \sim } \right)
|
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
|
