[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c210264

A TRANSLATION OF AN ANALOGUE OF WIENER SPACE WITH ITS APPLICATIONS ON THEIR PRODUCT SPACES

Cho, Dong Hyun (Department of Mathematics Kyonggi University)

Publication Information

Communications of the Korean Mathematical Society / v.37, no.3, 2022 , pp. 749-763 More about this Journal

Abstract

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 < s < T.

Keywords

Analogue of Wiener measure; analogue of Wiener space; Brownian motion; Gaussian measure; Wiener measure; Wiener space;

Citations & Related Records

Times Cited By KSCI : 3 (Citation Analysis)

Reference
Cited By KSCI

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