| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Cent Florida, Dept Math, Orlando, FL 32816 - USA
[2] Univ Estadual Paulista, UNESP, IBILCE, DMAp, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Linear Algebra and its Applications; v. 562, p. 63-90, FEB 1 2018. |
| Web of Science Citations: | 3 |
| Abstract | |
We consider a sequence of polynomials [P-n](n >= 0) satisfying a special RH type recurrence relation where the zeros of P-n are simple and lie on the real line. It turns out that the polynomial P-n, for any n >= 2, is the characteristic polynomial of a simple n x n generalized eigenvalue problem. It is shown that with this R-II type recurrence relation one can always associate a positive measure on the unit circle. The orthogonality property satisfied by P-n with respect to this measure is also obtained. Finally, examples are given to justify the results. (C) 2018 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 17/12324-6 - Orthogonal polynomials on the unit circle and related studies |
| Grantee: | Alagacone Sri Ranga |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 16/09906-0 - Harmonic analysis, approximation theory and applications |
| Grantee: | Dimitar Kolev Dimitrov |
| Support Opportunities: | Research Projects - Thematic Grants |