Completely monotone functions on lie semigroups
We obtain an integral representation of a completely monotone function on a Lie semigroup and prove the equivalence of “difference” and “differential” definitions of this function.
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| Date: | 2000 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2000
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4480 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510607903555584 |
|---|---|
| author | Mirotin, A. R. Миротин, А. Р. Миротин, А. Р. |
| author_facet | Mirotin, A. R. Миротин, А. Р. Миротин, А. Р. |
| author_sort | Mirotin, A. R. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:29:37Z |
| description | We obtain an integral representation of a completely monotone function on a Lie semigroup and prove the equivalence of “difference” and “differential” definitions of this function. |
| first_indexed | 2026-03-24T02:59:42Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4480 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:59:42Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/08/7e7a62c8f66c4f5927c7a2edb5201808.pdf |
| spelling | umjimathkievua-article-44802020-03-18T20:29:37Z Completely monotone functions on lie semigroups Вполне монотонные функции на полугруппах Ли Mirotin, A. R. Миротин, А. Р. Миротин, А. Р. We obtain an integral representation of a completely monotone function on a Lie semigroup and prove the equivalence of “difference” and “differential” definitions of this function. Одержано інтегральне зображення цілком монотонної функції на півгрупі Лі і доведено рівносильність „різницевого" та „диференціального" означень такої функції. Institute of Mathematics, NAS of Ukraine 2000-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4480 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 6 (2000); 841–845 Український математичний журнал; Том 52 № 6 (2000); 841–845 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4480/5664 https://umj.imath.kiev.ua/index.php/umj/article/view/4480/5665 Copyright (c) 2000 Mirotin A. R. |
| spellingShingle | Mirotin, A. R. Миротин, А. Р. Миротин, А. Р. Completely monotone functions on lie semigroups |
| title | Completely monotone functions on lie semigroups |
| title_alt | Вполне монотонные функции на полугруппах Ли |
| title_full | Completely monotone functions on lie semigroups |
| title_fullStr | Completely monotone functions on lie semigroups |
| title_full_unstemmed | Completely monotone functions on lie semigroups |
| title_short | Completely monotone functions on lie semigroups |
| title_sort | completely monotone functions on lie semigroups |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4480 |
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