On two new characterizations of Steiltjes transforms for distributions
Two new characterizations of the Stieltjes transform for distribution are developed, using two transformations on the space of distributions viz., dilation Un and exponential shifts T−p. The standard theorem on analyticity, uniqueness and invertibility of the Stieltjes transform are proved, using th...
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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 |
| Online Access: | http://dx.doi.org/10.1155/S0161171285000801 |
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| _version_ | 1832554834194071552 |
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| author | Sunil Kumar Sinha |
| author_facet | Sunil Kumar Sinha |
| author_sort | Sunil Kumar Sinha |
| collection | DOAJ |
| description | Two new characterizations of the Stieltjes transform for distribution are
developed, using two transformations on the space of distributions viz., dilation Un and exponential shifts T−p. The standard theorem on analyticity, uniqueness and invertibility of the Stieltjes transform are proved, using the new characterization as the definition of the Stieltjes transform. |
| format | Article |
| id | doaj-art-584e912b01b146ff86b8f8889e65e689 |
| 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-584e912b01b146ff86b8f8889e65e6892025-02-03T05:50:28ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018471972310.1155/S0161171285000801On two new characterizations of Steiltjes transforms for distributionsSunil Kumar Sinha0Department of Mathematics, Tata College Chaibasa, Singhbhum, Bihar 833202, IndiaTwo new characterizations of the Stieltjes transform for distribution are developed, using two transformations on the space of distributions viz., dilation Un and exponential shifts T−p. The standard theorem on analyticity, uniqueness and invertibility of the Stieltjes transform are proved, using the new characterization as the definition of the Stieltjes transform.http://dx.doi.org/10.1155/S0161171285000801 |
| spellingShingle | Sunil Kumar Sinha On two new characterizations of Steiltjes transforms for distributions International Journal of Mathematics and Mathematical Sciences |
| title | On two new characterizations of Steiltjes transforms for distributions |
| title_full | On two new characterizations of Steiltjes transforms for distributions |
| title_fullStr | On two new characterizations of Steiltjes transforms for distributions |
| title_full_unstemmed | On two new characterizations of Steiltjes transforms for distributions |
| title_short | On two new characterizations of Steiltjes transforms for distributions |
| title_sort | on two new characterizations of steiltjes transforms for distributions |
| url | http://dx.doi.org/10.1155/S0161171285000801 |
| work_keys_str_mv | AT sunilkumarsinha ontwonewcharacterizationsofsteiltjestransformsfordistributions |