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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(ℝ(n)) and 𝒮′(ℝ(n)).
| Autor principal: | |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Hindawi Publishing Corporation
2014
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3910128/ https://www.ncbi.nlm.nih.gov/pubmed/24526912 http://dx.doi.org/10.1155/2014/623294 |
| _version_ | 1782301933354090496 |
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| author | Singh, Sunil Kumar |
| author_facet | Singh, Sunil Kumar |
| author_sort | Singh, Sunil Kumar |
| collection | PubMed |
| 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(ℝ(n)) and 𝒮′(ℝ(n)). |
| format | Online Article Text |
| id | pubmed-3910128 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-39101282014-02-13 The S-Transform of Distributions Singh, Sunil Kumar ScientificWorldJournal Research Article 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(ℝ(n)) and 𝒮′(ℝ(n)). Hindawi Publishing Corporation 2014-01-02 /pmc/articles/PMC3910128/ /pubmed/24526912 http://dx.doi.org/10.1155/2014/623294 Text en Copyright © 2014 Sunil Kumar Singh. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
| spellingShingle | Research Article Singh, Sunil Kumar The S-Transform of Distributions |
| 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 |
| topic | Research Article |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3910128/ https://www.ncbi.nlm.nih.gov/pubmed/24526912 http://dx.doi.org/10.1155/2014/623294 |
| work_keys_str_mv | AT singhsunilkumar thestransformofdistributions AT singhsunilkumar stransformofdistributions |