Power moments of negative order for the principal spectral function of a string
We established necessary and sufficient conditions for the existence of finite power moments of all integer negative orders for the principal spectral function of a string. The necesity of this problem is explained by its relation to the so-called strong Stieltjes moment problem.
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| Datum: | 1996 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1996
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5236 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511451999895552 |
|---|---|
| author | Kats, I. S. Кац, И. С. Кац, И. С. |
| author_facet | Kats, I. S. Кац, И. С. Кац, И. С. |
| author_sort | Kats, I. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:28:19Z |
| description | We established necessary and sufficient conditions for the existence of finite power moments of all integer negative orders for the principal spectral function of a string. The necesity of this problem is explained by its relation to the so-called strong Stieltjes moment problem. |
| first_indexed | 2026-03-24T03:13:07Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5236 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:13:07Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/7e/23968b666a7a13a49da217319294ce7e.pdf |
| spelling | umjimathkievua-article-52362020-03-18T21:28:19Z Power moments of negative order for the principal spectral function of a string Степенные моменты отрицательных порядков главной спектральной функции струны Kats, I. S. Кац, И. С. Кац, И. С. We established necessary and sufficient conditions for the existence of finite power moments of all integer negative orders for the principal spectral function of a string. The necesity of this problem is explained by its relation to the so-called strong Stieltjes moment problem. Одержо необхідну та достатню умови існування скінченних степеневих моментів усіх цілих від'ємних порядків головної спектральної функції струни. Потреба у цьому виникла у зв'язку з так званою сильною проблемою моментів Стільтьєса. Institute of Mathematics, NAS of Ukraine 1996-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5236 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 9 (1996); 1209–1222 Український математичний журнал; Том 48 № 9 (1996); 1209–1222 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5236/7166 https://umj.imath.kiev.ua/index.php/umj/article/view/5236/7167 Copyright (c) 1996 Kats I. S. |
| spellingShingle | Kats, I. S. Кац, И. С. Кац, И. С. Power moments of negative order for the principal spectral function of a string |
| title | Power moments of negative order for the principal spectral function of a string |
| title_alt | Степенные моменты отрицательных порядков главной спектральной
функции струны |
| title_full | Power moments of negative order for the principal spectral function of a string |
| title_fullStr | Power moments of negative order for the principal spectral function of a string |
| title_full_unstemmed | Power moments of negative order for the principal spectral function of a string |
| title_short | Power moments of negative order for the principal spectral function of a string |
| title_sort | power moments of negative order for the principal spectral function of a string |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5236 |
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