Shifting and Variational Properties for Fourier-Feynman Transform and Convolution
Shifting, scaling, modulation, and variational properties for Fourier-Feynman transform of functionals in a Banach algebra S are given. Cameron and Storvick's translation theorem can be obtained as a corollary of our result. We also study shifting, scaling, and modulation properties for the con...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/580653 |
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| _version_ | 1832554424852021248 |
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| author | Byoung Soo Kim |
| author_facet | Byoung Soo Kim |
| author_sort | Byoung Soo Kim |
| collection | DOAJ |
| description | Shifting, scaling, modulation, and variational properties for Fourier-Feynman transform of functionals in a Banach algebra S are given. Cameron and Storvick's translation theorem can be obtained as a corollary of our result. We also study shifting, scaling, and modulation properties for the convolution product of functionals in S. |
| format | Article |
| id | doaj-art-6f3640279705451b8f0c04fac4bd1aad |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-6f3640279705451b8f0c04fac4bd1aad2025-02-03T05:51:30ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/580653580653Shifting and Variational Properties for Fourier-Feynman Transform and ConvolutionByoung Soo Kim0School of Liberal Arts, Seoul National University of Science and Technology, Seoul 01811, Republic of KoreaShifting, scaling, modulation, and variational properties for Fourier-Feynman transform of functionals in a Banach algebra S are given. Cameron and Storvick's translation theorem can be obtained as a corollary of our result. We also study shifting, scaling, and modulation properties for the convolution product of functionals in S.http://dx.doi.org/10.1155/2015/580653 |
| spellingShingle | Byoung Soo Kim Shifting and Variational Properties for Fourier-Feynman Transform and Convolution Journal of Function Spaces |
| title | Shifting and Variational Properties for Fourier-Feynman Transform and Convolution |
| title_full | Shifting and Variational Properties for Fourier-Feynman Transform and Convolution |
| title_fullStr | Shifting and Variational Properties for Fourier-Feynman Transform and Convolution |
| title_full_unstemmed | Shifting and Variational Properties for Fourier-Feynman Transform and Convolution |
| title_short | Shifting and Variational Properties for Fourier-Feynman Transform and Convolution |
| title_sort | shifting and variational properties for fourier feynman transform and convolution |
| url | http://dx.doi.org/10.1155/2015/580653 |
| work_keys_str_mv | AT byoungsookim shiftingandvariationalpropertiesforfourierfeynmantransformandconvolution |