대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제37권3호
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  • Pages.749-763
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  • 2022
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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A TRANSLATION OF AN ANALOGUE OF WIENER SPACE WITH ITS APPLICATIONS ON THEIR PRODUCT SPACES

  • 투고 : 2021.08.02
  • 심사 : 2021.12.09
  • 발행 : 2022.07.31
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초록

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.

키워드

과제정보

This work was supported by Kyonggi University Research Grant 2019 Grant.

참고문헌

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