On orthogonal systems of rational functions on the unit circle and polynomials orthogonal with respect to varying measures
β Scribed by K. Pan
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 607 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0377-0427
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π SIMILAR VOLUMES
## Abstract This paper contains first steps towards a SzegΓΆ theory of orthogonal rational matrixβvalued functions on the unit circle π. Hereby we are guided by former work of Bultheel, GonzΓ‘lezβVera, Hendriksen, and NjΓ₯stad on scalar orthogonal rational functions on the one side and by investigatio
In this paper we analyze a perturbation of a nontrivial positive measure supported on the unit circle. This perturbation is the inverse of the Christoffel transformation and is called the Geronimus transformation. We study the corresponding sequences of monic orthogonal polynomials as well as the co