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A change of scale formula for Wiener integrals about the first variation on the product abstract Wiener space
- Title
- A change of scale formula for Wiener integrals about the first variation on the product abstract Wiener space
- Author
- 김영식
- Keywords
- Abstract Wiener space; Fourier–Feynman transform; Change of scale formula
- Issue Date
- 2020-12
- Publisher
- MDPI AG
- Citation
- Symmetry, v. 13, no. 1, page. 1-9
- Abstract
- We shall prove the existence of the Wiener integral and the analytic Wiener and Feynman integral and we obtain those relationships and later, we prove the change of scale formula for the Wiener integral about the first variation of a function defined on the product abstract Wiener space. Later, we obtain those relationships in the Fresnel class as it’s corollaries. © 2020 by the authors. Licensee MDPI, Basel, Switzerland.
- URI
- https://www.mdpi.com/2073-8994/13/1/12https://repository.hanyang.ac.kr/handle/20.500.11754/160257
- ISSN
- 2073-8994
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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