The stieltjes transform of distributions
In the present work, two complex inversion formulas of Byrne and Love for generalized Stieltjes transformation are shown to be valid for a class of distributions. This is accomplished by transfering the complex inversion formulas on the testing function space of a class of distributions and then sho...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1979-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117127900034X |
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| _version_ | 1850171356290744320 |
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| author | U. N. Tiwari J. N. Pandey |
| author_facet | U. N. Tiwari J. N. Pandey |
| author_sort | U. N. Tiwari |
| collection | DOAJ |
| description | In the present work, two complex inversion formulas of Byrne and Love for generalized Stieltjes transformation are shown to be valid for a class of distributions. This is accomplished by transfering the complex inversion formulas on the testing function space of a class of distributions and then showing that the limiting process in the resulting formula converges in the topology of the testing function space. |
| format | Article |
| id | doaj-art-9d02b9ebb1fb410d933f0ebb23e855d2 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1979-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9d02b9ebb1fb410d933f0ebb23e855d22025-08-20T02:20:18ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251979-01-012344145810.1155/S016117127900034XThe stieltjes transform of distributionsU. N. Tiwari0J. N. Pandey1Department of Mathematics, John Abbott College, Montreal, CanadaDepartment of Mathematics, Carleton University, Ottawa, CanadaIn the present work, two complex inversion formulas of Byrne and Love for generalized Stieltjes transformation are shown to be valid for a class of distributions. This is accomplished by transfering the complex inversion formulas on the testing function space of a class of distributions and then showing that the limiting process in the resulting formula converges in the topology of the testing function space.http://dx.doi.org/10.1155/S016117127900034Xgeneralized functionsStieltjes transformation. |
| spellingShingle | U. N. Tiwari J. N. Pandey The stieltjes transform of distributions International Journal of Mathematics and Mathematical Sciences generalized functions Stieltjes transformation. |
| title | The stieltjes transform of distributions |
| title_full | The stieltjes transform of distributions |
| title_fullStr | The stieltjes transform of distributions |
| title_full_unstemmed | The stieltjes transform of distributions |
| title_short | The stieltjes transform of distributions |
| title_sort | stieltjes transform of distributions |
| topic | generalized functions Stieltjes transformation. |
| url | http://dx.doi.org/10.1155/S016117127900034X |
| work_keys_str_mv | AT untiwari thestieltjestransformofdistributions AT jnpandey thestieltjestransformofdistributions AT untiwari stieltjestransformofdistributions AT jnpandey stieltjestransformofdistributions |