A Rotation of Admixable Operators on Abstract Wiener Space with Applications
We investigate certain rotation properties of the abstract Wiener measure. To determine our rotation property for the Wiener measure, we introduce the concept of an admixable operator via an algebraic structure on abstract Wiener space. As for applications, we define the analytic Fourier-Feynman tra...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/671909 |
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| _version_ | 1850218376369012736 |
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| author | Jae Gil Choi Seung Jun Chang |
| author_facet | Jae Gil Choi Seung Jun Chang |
| author_sort | Jae Gil Choi |
| collection | DOAJ |
| description | We investigate certain rotation properties of the abstract Wiener measure. To determine our rotation property for the Wiener measure, we introduce the concept of an admixable operator via an algebraic structure on abstract Wiener space. As for applications, we define the analytic Fourier-Feynman transform and the convolution product associated with the admixable operators and proceed to establish the relationships between this transform and the corresponding convolution product. |
| format | Article |
| id | doaj-art-371f0f4f90ab44efa7e073bcf24858f0 |
| institution | OA Journals |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-371f0f4f90ab44efa7e073bcf24858f02025-08-20T02:07:45ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/671909671909A Rotation of Admixable Operators on Abstract Wiener Space with ApplicationsJae Gil Choi0Seung Jun Chang1Department of Mathematics, Dankook University, Cheonan 330-714, Republic of KoreaDepartment of Mathematics, Dankook University, Cheonan 330-714, Republic of KoreaWe investigate certain rotation properties of the abstract Wiener measure. To determine our rotation property for the Wiener measure, we introduce the concept of an admixable operator via an algebraic structure on abstract Wiener space. As for applications, we define the analytic Fourier-Feynman transform and the convolution product associated with the admixable operators and proceed to establish the relationships between this transform and the corresponding convolution product.http://dx.doi.org/10.1155/2013/671909 |
| spellingShingle | Jae Gil Choi Seung Jun Chang A Rotation of Admixable Operators on Abstract Wiener Space with Applications Journal of Function Spaces and Applications |
| title | A Rotation of Admixable Operators on Abstract Wiener Space with Applications |
| title_full | A Rotation of Admixable Operators on Abstract Wiener Space with Applications |
| title_fullStr | A Rotation of Admixable Operators on Abstract Wiener Space with Applications |
| title_full_unstemmed | A Rotation of Admixable Operators on Abstract Wiener Space with Applications |
| title_short | A Rotation of Admixable Operators on Abstract Wiener Space with Applications |
| title_sort | rotation of admixable operators on abstract wiener space with applications |
| url | http://dx.doi.org/10.1155/2013/671909 |
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