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Orthogonal rational functions and quadrature on the unit circle

✍ Scribed by Adhemar Bultheel; Pablo González-Vera; Erik Hendriksen; Olav Njåstad

Publisher
Springer US
Year
1992
Tongue
English
Weight
482 KB
Volume
3
Category
Article
ISSN
1017-1398

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📜 SIMILAR VOLUMES

Orthogonal rational matrix-valued functi
Orthogonal rational matrix-valued functions on the unit circle
✍ Bernd Fritzsche; Bernd Kirstein; Andreas Lasarow 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 391 KB

## 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

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On the convergence of rational functions orthogonal on the unit circle
✍ K. Pan 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 353 KB

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.