The S-Transform of Distributions
Parseval’s formula and inversion formula for the S-transform are given. A relation between the S-transform and pseudodifferential operators is obtained. The S-transform is studied on the spaces 𝒮(ℝn) and 𝒮′(ℝn).
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/623294 |
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| _version_ | 1850110678406266880 |
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| author | Sunil Kumar Singh |
| author_facet | Sunil Kumar Singh |
| author_sort | Sunil Kumar Singh |
| collection | DOAJ |
| description | Parseval’s formula and inversion formula for the S-transform are given. A relation between the S-transform and pseudodifferential operators is obtained. The S-transform is studied on the spaces 𝒮(ℝn) and 𝒮′(ℝn). |
| format | Article |
| id | doaj-art-468b74f1010c4ce8bdf27381cee75ca4 |
| institution | OA Journals |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-468b74f1010c4ce8bdf27381cee75ca42025-08-20T02:37:48ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/623294623294The S-Transform of DistributionsSunil Kumar Singh0Department of Mathematics, Rajiv Gandhi University, Doimukh, Arunachal Pradesh 791112, IndiaParseval’s formula and inversion formula for the S-transform are given. A relation between the S-transform and pseudodifferential operators is obtained. The S-transform is studied on the spaces 𝒮(ℝn) and 𝒮′(ℝn).http://dx.doi.org/10.1155/2014/623294 |
| spellingShingle | Sunil Kumar Singh The S-Transform of Distributions The Scientific World Journal |
| title | The S-Transform of Distributions |
| title_full | The S-Transform of Distributions |
| title_fullStr | The S-Transform of Distributions |
| title_full_unstemmed | The S-Transform of Distributions |
| title_short | The S-Transform of Distributions |
| title_sort | s transform of distributions |
| url | http://dx.doi.org/10.1155/2014/623294 |
| work_keys_str_mv | AT sunilkumarsingh thestransformofdistributions AT sunilkumarsingh stransformofdistributions |