Commun. Korean Math. Soc. 2022; 37(3): 749-763
Online first article May 13, 2022 Printed July 31, 2022
https://doi.org/10.4134/CKMS.c210264
Copyright © The Korean Mathematical Society.
Dong Hyun Cho
Kyonggi University
Let $C[0,T]$ denote an analogue of Weiner space, the space of real-valued continuous on $[0,T]$. In this paper, we investigate the translation of time interval $[0,T]$ defining the analogue of Winer space $C[0,T]$. As applications of the result, we derive various relationships between the analogue of Wiener space and its product spaces. Finally, we express the analogue of Wiener measures on $C[0,T]$ as the analogue of Wiener measures on $C[0,s]$ and $C[s,T]$ with $0
Keywords: Analogue of Wiener measure, analogue of Wiener space, Brownian motion, Gaussian measure, Wiener measure, Wiener space
MSC numbers: Primary 28C20; Secondary 46G12, 46T12
Supported by: This work was supported by Kyonggi University Research Grant 2019 Grant.
2020; 35(3): 809-823
1997; 12(2): 293-303
2000; 15(4): 715-721
2001; 16(4): 691-701
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd