Estimation of the generalized Bessel – Struve transform in a certain space of generalized functions
We investigate the so-called Bessel – Struve transform on certain class of generalized functions called Boehmians. By using different convolution products, we generate the Boehmian spaces, where the extended transform is well defined. We also show that the Bessel – Struve transform of a Boehmian is...
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| Datum: | 2017 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2017
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1767 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | We investigate the so-called Bessel – Struve transform on certain class of generalized functions called Boehmians. By using
different convolution products, we generate the Boehmian spaces, where the extended transform is well defined. We also
show that the Bessel – Struve transform of a Boehmian is an isomorphism which is continuous with respect to a certain
type of convergence. |
|---|