Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 김영식 | - |
dc.date.accessioned | 2022-05-03T01:40:54Z | - |
dc.date.available | 2022-05-03T01:40:54Z | - |
dc.date.issued | 2020-09 | - |
dc.identifier.citation | MATHEMATICS, v. 8, no. 10, article no. 1666 | en_US |
dc.identifier.issn | 2227-7390 | - |
dc.identifier.uri | https://www.mdpi.com/2227-7390/8/10/1666 | - |
dc.identifier.uri | https://repository.hanyang.ac.kr/handle/20.500.11754/170511 | - |
dc.description.abstract | We prove that the Wiener integral, the analytic Wiener integral and the analytic Feynman integral of the first variation of F(x) = exp{integral(T)(0) theta(t,x(t))dt} successfully exist under the certain condition, where theta(t,u) = integral(R) exp{iuv}d sigma(t)(v) is a Fourier-Stieltjes transform of a complex Borel measure sigma(t)is an element of M(R) and M(R) is a set of complex Borel measures defined on R. We will find this condition. Moreover, we prove that the change of scale formula for Wiener integrals about the first variation of F(x) sucessfully holds on the Wiener space. | en_US |
dc.description.sponsorship | This paper is supported by NRF-2017R1A6A3A11030667 in the project from 2017. NRF supported me the research fund for papers listed in [12-18,20] since 1996. | en_US |
dc.language.iso | en | en_US |
dc.publisher | MDPI | en_US |
dc.subject | Wiener space | en_US |
dc.subject | Wiener integral | en_US |
dc.subject | Feynman integral | en_US |
dc.subject | Fourier–Stieltjes transform | en_US |
dc.subject | first variation | en_US |
dc.title | Feynman integral and a change of scale formula about the first variation and a Fourier Stieltjes transform | en_US |
dc.type | Article | en_US |
dc.relation.no | 1666 | - |
dc.relation.volume | 8 | - |
dc.identifier.doi | 10.3390/math8101666 | - |
dc.relation.page | 1-14 | - |
dc.relation.journal | MATHEMATICS | - |
dc.contributor.googleauthor | Kim, Young Sik | - |
dc.relation.code | 2020047404 | - |
dc.sector.campus | S | - |
dc.sector.daehak | COLLEGE OF NATURAL SCIENCES[S] | - |
dc.sector.department | DEPARTMENT OF MATHEMATICS | - |
dc.identifier.pid | yoskim | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.