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On the convergence of rational functions orthogonal on the unit circle

✍ Scribed by K. Pan


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
353 KB
Volume
76
Category
Article
ISSN
0377-0427

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✦ Synopsis


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.


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Orthogonal rational matrix-valued functi
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## Abstract This paper contains first steps towards a SzegΓΆ theory of orthogonal rational matrix‐valued functions on the unit circle 𝕋. Hereby we are guided by former work of Bultheel, GonzΓ‘lez‐Vera, Hendriksen, and NjΓ₯stad on scalar orthogonal rational functions on the one side and by investigatio