The n-dimensional distributional Mellin transformation
The n-dimensional distributional Mellin transformation is developed using the testing function space Mc,d and its dual M′c,d The standard theorems on analyticity, uniqueness and continuity are proved. A necessary and sufficient condition for a function to be an n-dimensional Mellin transformation is...
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| Format: | Article |
| Language: | English |
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Wiley
1983-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171283000071 |
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| _version_ | 1832551975308230656 |
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| author | Sunil Kumar Sinha |
| author_facet | Sunil Kumar Sinha |
| author_sort | Sunil Kumar Sinha |
| collection | DOAJ |
| description | The n-dimensional distributional Mellin transformation is developed using the testing function space Mc,d and its dual M′c,d The standard theorems on analyticity, uniqueness and continuity are proved. A necessary and sufficient condition for a function to be an n-dimensional Mellin transformation is proved by the help of a boundedness property for distribution in M′c,d. Some operational transform formulas are also introduced. |
| format | Article |
| id | doaj-art-b9086a55df8b435b83a1dd5974fc3041 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1983-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b9086a55df8b435b83a1dd5974fc30412025-02-03T05:59:56ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251983-01-0161959910.1155/S0161171283000071The n-dimensional distributional Mellin transformationSunil Kumar Sinha0Department of Mathematics, Tata college Chaibasa, Singhbhum, Bihar 833202, IndiaThe n-dimensional distributional Mellin transformation is developed using the testing function space Mc,d and its dual M′c,d The standard theorems on analyticity, uniqueness and continuity are proved. A necessary and sufficient condition for a function to be an n-dimensional Mellin transformation is proved by the help of a boundedness property for distribution in M′c,d. Some operational transform formulas are also introduced.http://dx.doi.org/10.1155/S0161171283000071 |
| spellingShingle | Sunil Kumar Sinha The n-dimensional distributional Mellin transformation International Journal of Mathematics and Mathematical Sciences |
| title | The n-dimensional distributional Mellin transformation |
| title_full | The n-dimensional distributional Mellin transformation |
| title_fullStr | The n-dimensional distributional Mellin transformation |
| title_full_unstemmed | The n-dimensional distributional Mellin transformation |
| title_short | The n-dimensional distributional Mellin transformation |
| title_sort | n dimensional distributional mellin transformation |
| url | http://dx.doi.org/10.1155/S0161171283000071 |
| work_keys_str_mv | AT sunilkumarsinha thendimensionaldistributionalmellintransformation AT sunilkumarsinha ndimensionaldistributionalmellintransformation |