Szegő’s theorem for matrix orthogonal polynomials
✍ Scribed by Maxim Derevyagin; Olga Holtz; Sergey Khrushchev; Mikhail Tyaglov
- Book ID
- 116613792
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 278 KB
- Volume
- 164
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper, we establish a quadrature formula and some basic properties of the zeros of a sequence (P n ) n of orthogonal matrix polynomials on the real line with respect to a positive definite matrix of measures. Using these results, we show how to get an orthogonalizing matrix of measures for a
## Abstract We consider quantum random walks (QRW) on the integers, a subject that has been considered in the last few years in the framework of quantum computation. We show how the theory of CMV matrices gives a natural tool to study these processes and to give results that are analogous to those