Abelian theorem for the Stieltjes transform of distributions
First, a definition is given of the Stieltjes transform of distributions which contains some well-known. Then, a structural theorem for distributions having S-asymptotic is proved. This makes possible to prove two theorems of the Abelian type valued for Stieltjes transforms of distributions given in...
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| Format: | Article |
| Language: | English |
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Wiley
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117129000093X |
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| _version_ | 1849414618304217088 |
|---|---|
| author | Bogoljub Stanković |
| author_facet | Bogoljub Stanković |
| author_sort | Bogoljub Stanković |
| collection | DOAJ |
| description | First, a definition is given of the Stieltjes transform of distributions which contains some well-known. Then, a structural theorem for distributions having S-asymptotic is proved. This makes possible to prove two theorems of the Abelian type valued for Stieltjes transforms of distributions given in different ways. |
| format | Article |
| id | doaj-art-6b96fdba0b994fa4bffb7da5ad12f9ae |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1990-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-6b96fdba0b994fa4bffb7da5ad12f9ae2025-08-20T03:33:46ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113467768510.1155/S016117129000093XAbelian theorem for the Stieltjes transform of distributionsBogoljub Stanković0Institute of Mathematics, University of Novi Sad, SerbiaFirst, a definition is given of the Stieltjes transform of distributions which contains some well-known. Then, a structural theorem for distributions having S-asymptotic is proved. This makes possible to prove two theorems of the Abelian type valued for Stieltjes transforms of distributions given in different ways.http://dx.doi.org/10.1155/S016117129000093XStieltjes transformS-asymptoticAbelian type theoremdistributiongeneralized function. |
| spellingShingle | Bogoljub Stanković Abelian theorem for the Stieltjes transform of distributions International Journal of Mathematics and Mathematical Sciences Stieltjes transform S-asymptotic Abelian type theorem distribution generalized function. |
| title | Abelian theorem for the Stieltjes transform of distributions |
| title_full | Abelian theorem for the Stieltjes transform of distributions |
| title_fullStr | Abelian theorem for the Stieltjes transform of distributions |
| title_full_unstemmed | Abelian theorem for the Stieltjes transform of distributions |
| title_short | Abelian theorem for the Stieltjes transform of distributions |
| title_sort | abelian theorem for the stieltjes transform of distributions |
| topic | Stieltjes transform S-asymptotic Abelian type theorem distribution generalized function. |
| url | http://dx.doi.org/10.1155/S016117129000093X |
| work_keys_str_mv | AT bogoljubstankovic abeliantheoremforthestieltjestransformofdistributions |