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 |
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| Datum: | 2008 |
| ISSN: | 1812-9471 |
| 1. Verfasser: | |
| 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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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| ISSN: | 1812-9471 |