A change of scale formula for Wiener integrals on abstract Wiener spaces
In this paper we obtain a change of scale formula for Wiener integrals on abstract Wiener spaces. This formula is shown to hold for many classes of functions of interest in Feynman integration theory and quantum mechanics.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1994-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171294000359 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832556121417580544 |
|---|---|
| author | Il Yoo David Skoug |
| author_facet | Il Yoo David Skoug |
| author_sort | Il Yoo |
| collection | DOAJ |
| description | In this paper we obtain a change of scale formula for Wiener integrals on abstract Wiener spaces. This formula is shown to hold for many classes of functions of interest in Feynman integration theory and quantum mechanics. |
| format | Article |
| id | doaj-art-abcc71d57cb6462bb1197a2ef890bcee |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1994-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-abcc71d57cb6462bb1197a2ef890bcee2025-02-03T05:46:19ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117223924710.1155/S0161171294000359A change of scale formula for Wiener integrals on abstract Wiener spacesIl Yoo0David Skoug1Department of Mathematics, Yonsei University, Kangwondo 222-701, KoreaDepartment of Mathematics & Statistics, University of Nebraska, Lincoln 68588-0323, NE, USAIn this paper we obtain a change of scale formula for Wiener integrals on abstract Wiener spaces. This formula is shown to hold for many classes of functions of interest in Feynman integration theory and quantum mechanics.http://dx.doi.org/10.1155/S0161171294000359abstract Wiener spaceWiener integralFeynman integral. |
| spellingShingle | Il Yoo David Skoug A change of scale formula for Wiener integrals on abstract Wiener spaces International Journal of Mathematics and Mathematical Sciences abstract Wiener space Wiener integral Feynman integral. |
| title | A change of scale formula for Wiener integrals on abstract Wiener spaces |
| title_full | A change of scale formula for Wiener integrals on abstract Wiener spaces |
| title_fullStr | A change of scale formula for Wiener integrals on abstract Wiener spaces |
| title_full_unstemmed | A change of scale formula for Wiener integrals on abstract Wiener spaces |
| title_short | A change of scale formula for Wiener integrals on abstract Wiener spaces |
| title_sort | change of scale formula for wiener integrals on abstract wiener spaces |
| topic | abstract Wiener space Wiener integral Feynman integral. |
| url | http://dx.doi.org/10.1155/S0161171294000359 |
| work_keys_str_mv | AT ilyoo achangeofscaleformulaforwienerintegralsonabstractwienerspaces AT davidskoug achangeofscaleformulaforwienerintegralsonabstractwienerspaces AT ilyoo changeofscaleformulaforwienerintegralsonabstractwienerspaces AT davidskoug changeofscaleformulaforwienerintegralsonabstractwienerspaces |