Analytic representation of the distributional finite Hankel transform
Various representations of finite Hankel transforms of generalized functions are obtained. One of the representations is shown to be the limit of a certain family of regular generalized functions and this limit is interpreted as a process of truncation for the generalized functions (distributions)....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171285000345 |
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| _version_ | 1832548621154779136 |
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| author | O. P. Singh Ram S. Pathak |
| author_facet | O. P. Singh Ram S. Pathak |
| author_sort | O. P. Singh |
| collection | DOAJ |
| description | Various representations of finite Hankel transforms of generalized functions are obtained. One of the representations is shown to be the limit of a certain family of regular generalized functions and this limit is interpreted as a process of truncation for the generalized functions (distributions). An inversion theorem for the gereralized finite Hankel transform is established (in the distributional sense) which gives a Fourier-Bessel series representation of
generalized functions. |
| format | Article |
| id | doaj-art-919694dc253a4aa7b6b6083604452efa |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1985-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-919694dc253a4aa7b6b6083604452efa2025-02-03T06:13:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018232534410.1155/S0161171285000345Analytic representation of the distributional finite Hankel transformO. P. Singh0Ram S. Pathak1Department of Mathematics, Banaras Hindu University, Varanasi 221005, IndiaDepartment of Mathematics, Faculty of Science, King Saud University, Riyadh, Saudi ArabiaVarious representations of finite Hankel transforms of generalized functions are obtained. One of the representations is shown to be the limit of a certain family of regular generalized functions and this limit is interpreted as a process of truncation for the generalized functions (distributions). An inversion theorem for the gereralized finite Hankel transform is established (in the distributional sense) which gives a Fourier-Bessel series representation of generalized functions.http://dx.doi.org/10.1155/S0161171285000345Hankel transforms of generalized functionstest functionspacesFinite Hankel transform. |
| spellingShingle | O. P. Singh Ram S. Pathak Analytic representation of the distributional finite Hankel transform International Journal of Mathematics and Mathematical Sciences Hankel transforms of generalized functions test function spaces Finite Hankel transform. |
| title | Analytic representation of the distributional finite Hankel transform |
| title_full | Analytic representation of the distributional finite Hankel transform |
| title_fullStr | Analytic representation of the distributional finite Hankel transform |
| title_full_unstemmed | Analytic representation of the distributional finite Hankel transform |
| title_short | Analytic representation of the distributional finite Hankel transform |
| title_sort | analytic representation of the distributional finite hankel transform |
| topic | Hankel transforms of generalized functions test function spaces Finite Hankel transform. |
| url | http://dx.doi.org/10.1155/S0161171285000345 |
| work_keys_str_mv | AT opsingh analyticrepresentationofthedistributionalfinitehankeltransform AT ramspathak analyticrepresentationofthedistributionalfinitehankeltransform |