## Abstract This paper contains further steps towards a Szegö theory for orthogonal rational matrix‐valued functions on the unit circle 𝕋. It continues the investigations started in [18]–[20]. Hereby we are guided by former work of Bultheel, González–Vera, Hendriksen, and Njåstad on scalar orthogon
A Favard theorem for orthogonal rational functions on the unit circle
✍ Scribed by Adhemar Bultheel; Pablo González-Vera; Erik Hendriksen; Olav Njåstad
- Publisher
- Springer US
- Year
- 1992
- Tongue
- English
- Weight
- 384 KB
- Volume
- 3
- Category
- Article
- ISSN
- 1017-1398
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## Abstract This paper contains first steps towards a Szegö theory of orthogonal rational matrix‐valued functions on the unit circle 𝕋. Hereby we are guided by former work of Bultheel, González‐Vera, Hendriksen, and Njåstad on scalar orthogonal rational functions on the one side and by investigatio
Rational functions orthogonal on the unit circle with prescribed poles are studied. We establish some convergence theorems for the orthogonal rational functions. We generalize some of the results for Szeg6 polynomials to rational orthogonal functions.