A Modified Generalized Analytic Feynman Integral Associated with the Bounded Linear Operator
In this paper, we define a modified and generalized analytic Feynman integral associated with the bounded linear operator on abstract Wiener spaces. We then prove its existence. We also establish some modified and generalized analytic Feynman integration formulas and relationships involving the gene...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-12-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/11/12/707 |
| _version_ | 1797461514696785920 |
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| author | Hyun Soo Chung |
| author_facet | Hyun Soo Chung |
| author_sort | Hyun Soo Chung |
| collection | DOAJ |
| description | In this paper, we define a modified and generalized analytic Feynman integral associated with the bounded linear operator on abstract Wiener spaces. We then prove its existence. We also establish some modified and generalized analytic Feynman integration formulas and relationships involving the generalized Cameron–Storvick theorem. Finally, we give some examples to explain the usefulness of our research. |
| first_indexed | 2024-03-09T17:20:29Z |
| format | Article |
| id | doaj.art-c50cbe3bc1bc44e0af09c929a0ed13fc |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-09T17:20:29Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-c50cbe3bc1bc44e0af09c929a0ed13fc2023-11-24T13:15:48ZengMDPI AGAxioms2075-16802022-12-01111270710.3390/axioms11120707A Modified Generalized Analytic Feynman Integral Associated with the Bounded Linear OperatorHyun Soo Chung0Department of Mathematics, Dankook University, Cheonan 31116, Republic of KoreaIn this paper, we define a modified and generalized analytic Feynman integral associated with the bounded linear operator on abstract Wiener spaces. We then prove its existence. We also establish some modified and generalized analytic Feynman integration formulas and relationships involving the generalized Cameron–Storvick theorem. Finally, we give some examples to explain the usefulness of our research.https://www.mdpi.com/2075-1680/11/12/707generalized analytic Feynman integralbounded operatortranslation theoremfirst variationCameron–Storvick theoremabstract Wiener space |
| spellingShingle | Hyun Soo Chung A Modified Generalized Analytic Feynman Integral Associated with the Bounded Linear Operator Axioms generalized analytic Feynman integral bounded operator translation theorem first variation Cameron–Storvick theorem abstract Wiener space |
| title | A Modified Generalized Analytic Feynman Integral Associated with the Bounded Linear Operator |
| title_full | A Modified Generalized Analytic Feynman Integral Associated with the Bounded Linear Operator |
| title_fullStr | A Modified Generalized Analytic Feynman Integral Associated with the Bounded Linear Operator |
| title_full_unstemmed | A Modified Generalized Analytic Feynman Integral Associated with the Bounded Linear Operator |
| title_short | A Modified Generalized Analytic Feynman Integral Associated with the Bounded Linear Operator |
| title_sort | modified generalized analytic feynman integral associated with the bounded linear operator |
| topic | generalized analytic Feynman integral bounded operator translation theorem first variation Cameron–Storvick theorem abstract Wiener space |
| url | https://www.mdpi.com/2075-1680/11/12/707 |
| work_keys_str_mv | AT hyunsoochung amodifiedgeneralizedanalyticfeynmanintegralassociatedwiththeboundedlinearoperator AT hyunsoochung modifiedgeneralizedanalyticfeynmanintegralassociatedwiththeboundedlinearoperator |