Hankel convolution of generalized functions
In this paper the Hankel convolution introduced by Hirschman and Cholewinski is defined on a space of generalized functions wider than that considered by Sousa-Pinto. Algebraic and topological properties of this generalized Hankel convolution are established.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sapienza Università Editrice
1995-05-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
| Subjects: | |
| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1995(3)/351-380.pdf |
| _version_ | 1797817231703277568 |
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| author | I. MARRERO J.J. BETANCOR |
| author_facet | I. MARRERO J.J. BETANCOR |
| author_sort | I. MARRERO |
| collection | DOAJ |
| description | In this paper the Hankel convolution introduced by Hirschman and Cholewinski is defined on a space of generalized functions wider than that considered by Sousa-Pinto. Algebraic and topological properties of this generalized Hankel convolution are established.
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| first_indexed | 2024-03-13T08:50:03Z |
| format | Article |
| id | doaj.art-5cfe0a21f63f4ff4bddec4d9c285308b |
| institution | Directory Open Access Journal |
| issn | 1120-7183 2532-3350 |
| language | English |
| last_indexed | 2024-03-13T08:50:03Z |
| publishDate | 1995-05-01 |
| publisher | Sapienza Università Editrice |
| record_format | Article |
| series | Rendiconti di Matematica e delle Sue Applicazioni |
| spelling | doaj.art-5cfe0a21f63f4ff4bddec4d9c285308b2023-05-29T14:25:39ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33501995-05-01153351380Hankel convolution of generalized functionsI. MARRERO0J.J. BETANCOR1Departamento de Analisis Matematico – Universidad de La Laguna – 38271 La Laguna (Tenerife) – Canary Islands – SpainDepartamento de Analisis Matematico – Universidad de La Laguna – 38271 La Laguna (Tenerife) – Canary Islands – SpainIn this paper the Hankel convolution introduced by Hirschman and Cholewinski is defined on a space of generalized functions wider than that considered by Sousa-Pinto. Algebraic and topological properties of this generalized Hankel convolution are established. https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1995(3)/351-380.pdfhankel convolutionintegral transformationgeneralized function |
| spellingShingle | I. MARRERO J.J. BETANCOR Hankel convolution of generalized functions Rendiconti di Matematica e delle Sue Applicazioni hankel convolution integral transformation generalized function |
| title | Hankel convolution of generalized functions |
| title_full | Hankel convolution of generalized functions |
| title_fullStr | Hankel convolution of generalized functions |
| title_full_unstemmed | Hankel convolution of generalized functions |
| title_short | Hankel convolution of generalized functions |
| title_sort | hankel convolution of generalized functions |
| topic | hankel convolution integral transformation generalized function |
| url | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1995(3)/351-380.pdf |
| work_keys_str_mv | AT imarrero hankelconvolutionofgeneralizedfunctions AT jjbetancor hankelconvolutionofgeneralizedfunctions |