Polynomial tempered distributions
In the article polynomial (nonlinear) analogue of tempered Schwartz distributions is constructed. Generalized operation of differentiation in the space of polynomial generalized functions as well as Fourier-Laplace transformation of such distributions are considered. Some examples are given.
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| Format: | Article |
| Language: | English |
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Vasyl Stefanyk Precarpathian National University
2010-12-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Online Access: | http://journals.pu.if.ua/index.php/cmp/article/view/67/57 |
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Article |
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doaj-6e22eb6f4d0f4d5d8ccf9eea0ca227462020-11-25T03:21:46ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272010-12-0122123132Polynomial tempered distributionsSharyn S.V.In the article polynomial (nonlinear) analogue of tempered Schwartz distributions is constructed. Generalized operation of differentiation in the space of polynomial generalized functions as well as Fourier-Laplace transformation of such distributions are considered. Some examples are given.http://journals.pu.if.ua/index.php/cmp/article/view/67/57 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Sharyn S.V. |
| spellingShingle |
Sharyn S.V. Polynomial tempered distributions Karpatsʹkì Matematičnì Publìkacìï |
| author_facet |
Sharyn S.V. |
| author_sort |
Sharyn S.V. |
| title |
Polynomial tempered distributions |
| title_short |
Polynomial tempered distributions |
| title_full |
Polynomial tempered distributions |
| title_fullStr |
Polynomial tempered distributions |
| title_full_unstemmed |
Polynomial tempered distributions |
| title_sort |
polynomial tempered distributions |
| publisher |
Vasyl Stefanyk Precarpathian National University |
| series |
Karpatsʹkì Matematičnì Publìkacìï |
| issn |
2075-9827 |
| publishDate |
2010-12-01 |
| description |
In the article polynomial (nonlinear) analogue of tempered Schwartz distributions is constructed. Generalized operation of differentiation in the space of polynomial generalized functions as well as Fourier-Laplace transformation of such distributions are considered. Some examples are given. |
| url |
http://journals.pu.if.ua/index.php/cmp/article/view/67/57 |
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AT sharynsv polynomialtempereddistributions |
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