Trigonometric problem of moments with a port, the Levinson algorithms and certain applied problems
Eficient criteria for solvability of the trigonometric moment problem with a hatch in terms of coefficients of a recurrence relation governed by orthogonal polynomials on the unit circle are given. The criteria are based on the Levinson procedure. The potential, for applications is discussed.
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| Date: | 1992 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7971 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865794267035729920 |
|---|---|
| author | Ugrinovsky , R. A. Угриновский , Р. А. |
| author_facet | Ugrinovsky , R. A. Угриновский , Р. А. |
| author_institution_txt_mv | [
{
"author": "Р. А. Угриновский ",
"institution": "Ин-т прикл. физики АН России, Нижний Новгород"
}
] |
| author_sort | Ugrinovsky , R. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-12-01T10:43:23Z |
| description | Eficient criteria for solvability of the trigonometric moment problem with a hatch in terms of coefficients of a recurrence relation governed by orthogonal polynomials on the unit circle are given. The criteria are based on the Levinson procedure. The potential, for applications is discussed. |
| first_indexed | 2026-03-24T03:35:10Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-7971 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:35:10Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f9/1c2614520ac55b270e7859e2814b0bf9.pdf |
| spelling | umjimathkievua-article-79712023-12-01T10:43:23Z Trigonometric problem of moments with a port, the Levinson algorithms and certain applied problems О тригонометрической проблеме моментов с люком, алгоритме Левинсона и некоторых прикладных вопросах Ugrinovsky , R. A. Угриновский , Р. А. Eficient criteria for solvability of the trigonometric moment problem with a hatch in terms of coefficients of a recurrence relation governed by orthogonal polynomials on the unit circle are given. The criteria are based on the Levinson procedure. The potential, for applications is discussed. Предлагается эффективный критерий разрешимости тригонометрической проблемы моментов с люком в терминах коэффициентов рекуррентных соотношений, которым подчинены полиномы, ортогональные на единичной окружности. Критерий основан на процедуре Левинсона. Обсуждаются возможные приложения результатов. Пропонується еффективний критерій розв’язку тригонометричної проблеми моментів з люком у термінах коефіцієнтів рекурентних співвідношень, яким задовольняють многочлени, ортогональні на одиничному колі. В основі критерію лежить процедура Левінсона. Розглянуто можливі практичні застосування результатів. Institute of Mathematics, NAS of Ukraine 1992-05-26 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/7971 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 5 (1992); 713-716 Український математичний журнал; Том 44 № 5 (1992); 713-716 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/7971/9564 |
| spellingShingle | Ugrinovsky , R. A. Угриновский , Р. А. Trigonometric problem of moments with a port, the Levinson algorithms and certain applied problems |
| title | Trigonometric problem of moments with a port, the Levinson algorithms and certain applied problems |
| title_alt | О тригонометрической проблеме моментов с люком, алгоритме Левинсона и некоторых прикладных вопросах |
| title_full | Trigonometric problem of moments with a port, the Levinson algorithms and certain applied problems |
| title_fullStr | Trigonometric problem of moments with a port, the Levinson algorithms and certain applied problems |
| title_full_unstemmed | Trigonometric problem of moments with a port, the Levinson algorithms and certain applied problems |
| title_short | Trigonometric problem of moments with a port, the Levinson algorithms and certain applied problems |
| title_sort | trigonometric problem of moments with a port, the levinson algorithms and certain applied problems |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7971 |
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