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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| Datum: | 1992 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7971 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | 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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