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Interpolation by Rational Functions with Nodes on the Unit Circle

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

Book ID
110235383
Publisher
Springer Netherlands
Year
2000
Tongue
English
Weight
134 KB
Volume
61
Category
Article
ISSN
0167-8019

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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

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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.