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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| Veröffentlicht in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Datum: | 2008 |
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| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/106515 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862712105857187840 |
|---|---|
| author | Zagorodnyuk, S.M. |
| author_facet | Zagorodnyuk, S.M. |
| 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. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| 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.
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| first_indexed | 2025-12-07T17:34:22Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106515 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T17:34:22Z |
| publishDate | 2008 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Zagorodnyuk, S.M. 2016-09-29T19:08:05Z 2016-09-29T19:08:05Z 2008 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 https://nasplib.isofts.kiev.ua/handle/123456789/106515 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. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Orthogonal Polynomials on Rays: Properties of Zeros, Related Moment Problems and Symmetries Article published earlier |
| spellingShingle | Orthogonal Polynomials on Rays: Properties of Zeros, Related Moment Problems and Symmetries Zagorodnyuk, S.M. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106515 |
| work_keys_str_mv | AT zagorodnyuksm orthogonalpolynomialsonrayspropertiesofzerosrelatedmomentproblemsandsymmetries |