We study the asymptotic behavior of the sequence of polynomials orthogonal with respect to the discrete Sobolev inner product on the unit circle is a M\_M positive definite matrix or a positive semidefinite diagonal block matrix, M=l 1 + } } } +l m +m, d+ belongs to a certain class of measures, and
Asymptotic Behavior of Random Vandermonde Matrices With Entries on the Unit Circle
β Scribed by Ryan, O.; Debbah, M.
- Book ID
- 114641692
- Publisher
- IEEE
- Year
- 2009
- Tongue
- English
- Weight
- 871 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0018-9448
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π SIMILAR VOLUMES
For a positive measure \(\mu\) on the unit circle \((\Gamma)\) in the complex plane, \(m\) points \(z_{j}\) off \(\Gamma\) and \(m\) positive numbers \(A_{j}, j=1,2, \ldots, m\), we investigate the asymptotic behavior of orthonormal polynomials \(\Phi_{n}(z)\) corresponding to \(d_{\mu} / 2 \pi+\) \
In this paper we study orthogonal polynomials with asymptotically periodic reflection coefficients. It's known that the support of the orthogonality measure of such polynomials consists of several arcs. We are mainly interested in the asymptotic behaviour on the support and derive weak convergence r