| Title: | On Hankel transform and Hankel convolution of Beurling type distributions having upper bounded support (English) | 
| Author: | Belhadj, M. | 
| Author: | Betancor, J. J. | 
| Language: | English | 
| Journal: | Czechoslovak Mathematical Journal | 
| ISSN: | 0011-4642 (print) | 
| ISSN: | 1572-9141 (online) | 
| Volume: | 54 | 
| Issue: | 2 | 
| Year: | 2004 | 
| Pages: | 315-336 | 
| Summary lang: | English | 
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| Category: | math | 
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| Summary: | In this paper we study Beurling type distributions in the Hankel setting. We consider the space  ${\mathcal E}(w)^{\prime }$ of Beurling type distributions on $(0, \infty )$ having upper bounded support. The Hankel transform and the Hankel convolution are studied on the space  ${\mathcal E}(w)^{\prime }$. We also establish Paley Wiener type theorems for Hankel transformations of distributions in  ${\mathcal E}(w)^{\prime }$. (English) | 
| Keyword: | Beurling distributions | 
| Keyword: | Hankel transformation | 
| Keyword: | convolution | 
| MSC: | 44A15 | 
| MSC: | 46F10 | 
| MSC: | 46F12 | 
| idZBL: | Zbl 1080.46025 | 
| idMR: | MR2059253 | 
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| Date available: | 2009-09-24T11:12:52Z | 
| Last updated: | 2020-07-03 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/127890 | 
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