A change of scale formula for Wiener integrals of cylinder functions on abstract Wiener space
The purpose of this paper is to establish the existence of analytic Wiener and Feynman integrals for a class of certain cylinder functions which is of the form: F(x)=f((h1,x)∼,⋯,(hn,x)∼), x∈B, on the abstract Wiener space, and to establish the relationship between the Wiener integral and the ana...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171298000088 |
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| _version_ | 1849683408052027392 |
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| author | Young Sik Kim |
| author_facet | Young Sik Kim |
| author_sort | Young Sik Kim |
| collection | DOAJ |
| description | The purpose of this paper is to establish the existence of analytic Wiener and
Feynman integrals for a class of certain cylinder functions which is of the form:
F(x)=f((h1,x)∼,⋯,(hn,x)∼), x∈B,
on the abstract Wiener space, and to establish the relationship between the Wiener integral and
the analytic Feynman integral for such cylinder functions on the abstract Wiener space. We
then establish a change of scale formula for Wiener integrals of such cylinder functions on the
abstract Wiener space. |
| format | Article |
| id | doaj-art-d72c7dfa1ec842b4967ac8b6a0ea4d0d |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d72c7dfa1ec842b4967ac8b6a0ea4d0d2025-08-20T03:23:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-01211737810.1155/S0161171298000088A change of scale formula for Wiener integrals of cylinder functions on abstract Wiener spaceYoung Sik Kim0Global Analysis Research Center, Seoul National University, Seoul 151-742, KoreaThe purpose of this paper is to establish the existence of analytic Wiener and Feynman integrals for a class of certain cylinder functions which is of the form: F(x)=f((h1,x)∼,⋯,(hn,x)∼), x∈B, on the abstract Wiener space, and to establish the relationship between the Wiener integral and the analytic Feynman integral for such cylinder functions on the abstract Wiener space. We then establish a change of scale formula for Wiener integrals of such cylinder functions on the abstract Wiener space.http://dx.doi.org/10.1155/S0161171298000088Wiener measureanalytic Wiener integralanalytic Feynman integralchange of scale formula. |
| spellingShingle | Young Sik Kim A change of scale formula for Wiener integrals of cylinder functions on abstract Wiener space International Journal of Mathematics and Mathematical Sciences Wiener measure analytic Wiener integral analytic Feynman integral change of scale formula. |
| title | A change of scale formula for Wiener integrals of cylinder functions on abstract Wiener space |
| title_full | A change of scale formula for Wiener integrals of cylinder functions on abstract Wiener space |
| title_fullStr | A change of scale formula for Wiener integrals of cylinder functions on abstract Wiener space |
| title_full_unstemmed | A change of scale formula for Wiener integrals of cylinder functions on abstract Wiener space |
| title_short | A change of scale formula for Wiener integrals of cylinder functions on abstract Wiener space |
| title_sort | change of scale formula for wiener integrals of cylinder functions on abstract wiener space |
| topic | Wiener measure analytic Wiener integral analytic Feynman integral change of scale formula. |
| url | http://dx.doi.org/10.1155/S0161171298000088 |
| work_keys_str_mv | AT youngsikkim achangeofscaleformulaforwienerintegralsofcylinderfunctionsonabstractwienerspace AT youngsikkim changeofscaleformulaforwienerintegralsofcylinderfunctionsonabstractwienerspace |