Orthogonal Polynomials on Rays: Properties of Zeros, Related Moment Problems and Symmetries
We establish some basic properties of zeros for orthonormal polynomials on radial rays. We introduce a moment problem related to these orthonormal polynomials and obtain necessary and sufficient conditions for its solvability. We establish some properties of orthonormal polynomials in the case when...
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| Видавець: | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
|---|---|
| Дата: | 2008 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/106515 |
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| Цитувати: | Orthogonal Polynomials on Rays: Properties of Zeros, Related Moment Problems and Symmetries / S.M. Zagorodnyuk // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 3. — С. 395-419. — Бібліогр.: 7 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-106515 |
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dspace |
| spelling |
irk-123456789-1065152016-09-30T03:02:58Z Orthogonal Polynomials on Rays: Properties of Zeros, Related Moment Problems and Symmetries Zagorodnyuk, S.M. We establish some basic properties of zeros for orthonormal polynomials on radial rays. We introduce a moment problem related to these orthonormal polynomials and obtain necessary and sufficient conditions for its solvability. We establish some properties of orthonormal polynomials in the case when the measure of orthogonality has symmetries and show that the moment problem has solutions with some symmetric properties. 2008 Article Orthogonal Polynomials on Rays: Properties of Zeros, Related Moment Problems and Symmetries / S.M. Zagorodnyuk // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 3. — С. 395-419. — Бібліогр.: 7 назв. — англ. 1812-9471 http://dspace.nbuv.gov.ua/handle/123456789/106515 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We establish some basic properties of zeros for orthonormal polynomials on radial rays. We introduce a moment problem related to these orthonormal polynomials and obtain necessary and sufficient conditions for its solvability. We establish some properties of orthonormal polynomials in the case when the measure of orthogonality has symmetries and show that the moment problem has solutions with some symmetric properties. |
| format |
Article |
| author |
Zagorodnyuk, S.M. |
| spellingShingle |
Zagorodnyuk, S.M. Orthogonal Polynomials on Rays: Properties of Zeros, Related Moment Problems and Symmetries Журнал математической физики, анализа, геометрии |
| author_facet |
Zagorodnyuk, S.M. |
| author_sort |
Zagorodnyuk, S.M. |
| title |
Orthogonal Polynomials on Rays: Properties of Zeros, Related Moment Problems and Symmetries |
| title_short |
Orthogonal Polynomials on Rays: Properties of Zeros, Related Moment Problems and Symmetries |
| title_full |
Orthogonal Polynomials on Rays: Properties of Zeros, Related Moment Problems and Symmetries |
| title_fullStr |
Orthogonal Polynomials on Rays: Properties of Zeros, Related Moment Problems and Symmetries |
| title_full_unstemmed |
Orthogonal Polynomials on Rays: Properties of Zeros, Related Moment Problems and Symmetries |
| title_sort |
orthogonal polynomials on rays: properties of zeros, related moment problems and symmetries |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/106515 |
| citation_txt |
Orthogonal Polynomials on Rays: Properties of Zeros, Related Moment Problems and Symmetries / S.M. Zagorodnyuk // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 3. — С. 395-419. — Бібліогр.: 7 назв. — англ. |
| series |
Журнал математической физики, анализа, геометрии |
| work_keys_str_mv |
AT zagorodnyuksm orthogonalpolynomialsonrayspropertiesofzerosrelatedmomentproblemsandsymmetries |
| first_indexed |
2023-10-18T20:13:07Z |
| last_indexed |
2023-10-18T20:13:07Z |
| _version_ |
1796149284128686080 |