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: | Online |
| Language: | English |
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Hindawi Publishing Corporation
2014
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| Online Access: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3910128/ |
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pubmed-3910128 |
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oai_dc |
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pubmed-39101282014-02-13 The S-Transform of Distributions Singh, Sunil Kumar 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(ℝn) and 𝒮′(ℝn). 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. |
| repository_type |
Open Access Journal |
| institution_category |
Foreign Institution |
| institution |
US National Center for Biotechnology Information |
| building |
NCBI PubMed |
| collection |
Online Access |
| language |
English |
| format |
Online |
| author |
Singh, Sunil Kumar |
| spellingShingle |
Singh, Sunil Kumar The S-Transform of Distributions |
| author_facet |
Singh, Sunil Kumar |
| author_sort |
Singh, Sunil Kumar |
| title |
The S-Transform of Distributions |
| title_short |
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_sort |
s-transform of distributions |
| 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). |
| publisher |
Hindawi Publishing Corporation |
| publishDate |
2014 |
| url |
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3910128/ |
| _version_ |
1612053885273243648 |